diff --git a/NonBlock.es5.js b/NonBlock.es5.js
index 8caa164..ddf2234 100644
--- a/NonBlock.es5.js
+++ b/NonBlock.es5.js
@@ -55,6 +55,10 @@
       return el.classList.contains('nonblock');
     }
 
+    function isNotPropagating(el) {
+      return el.classList.contains('nonblock-stoppropagation');
+    }
+
     function getCursor(el) {
       var style = window.getComputedStyle(el);
       return style.getPropertyValue('cursor');
@@ -76,7 +80,9 @@
     document.body.addEventListener('mouseenter', function (ev) {
       if (isNonBlocking(ev.target)) {
         nonBlockLastElem = ev.target;
-        ev.stopPropagation();
+        if (isNotPropagating(ev.target)) {
+          ev.stopPropagation();
+        }
       }
     }, true);
     document.body.addEventListener('mouseleave', function (ev) {
@@ -84,7 +90,9 @@
         remCursor(ev.target);
         nonBlockLastElem = null;
         isSelectingText = false;
-        ev.stopPropagation();
+        if (isNotPropagating(ev.target)) {
+          ev.stopPropagation();
+        }
       }
     }, true);
     document.body.addEventListener('mousemove', function (ev) {
@@ -96,7 +104,9 @@
           window.getSelection().removeAllRanges();
           isSelectingText = true;
         }
-        ev.stopPropagation();
+        if (isNotPropagating(ev.target)) {
+          ev.stopPropagation();
+        }
       }
     }, true);
     document.body.addEventListener('mousedown', function (ev) {
@@ -104,7 +114,9 @@
         ev.preventDefault();
         nonblockPass(ev.target, ev, 'onmousedown');
         isSelectingText = null;
-        ev.stopPropagation();
+        if (isNotPropagating(ev.target)) {
+          ev.stopPropagation();
+        }
       }
     }, true);
     document.body.addEventListener('mouseup', function (ev) {
@@ -115,24 +127,30 @@
           window.getSelection().removeAllRanges();
         }
         isSelectingText = false;
-        ev.stopPropagation();
+        if (isNotPropagating(ev.target)) {
+          ev.stopPropagation();
+        }
       }
     }, true);
     document.body.addEventListener('click', function (ev) {
       if (isNonBlocking(ev.target)) {
         nonblockPass(ev.target, ev, 'onclick');
-        ev.stopPropagation();
+        if (isNotPropagating(ev.target)) {
+          ev.stopPropagation();
+        }
       }
     }, true);
     document.body.addEventListener('dblclick', function (ev) {
       if (isNonBlocking(ev.target)) {
         nonblockPass(ev.target, ev, 'ondblclick');
-        ev.stopPropagation();
+        if (isNotPropagating(ev.target)) {
+          ev.stopPropagation();
+        }
       }
     }, true);
 
     // Fire a DOM event.
-    var domEvent = function domEvent(elem, event, origEvent) {
+    var domEvent = function domEvent(elem, event, origEvent, bubbles) {
       var eventObject = void 0;
       event = event.toLowerCase();
       if (document.createEvent && elem.dispatchEvent) {
@@ -143,13 +161,13 @@
           // probably a much better way to do it.
           elem.getBoundingClientRect();
           eventObject = document.createEvent("MouseEvents");
-          eventObject.initMouseEvent(event, origEvent.bubbles, origEvent.cancelable, origEvent.view, origEvent.detail, origEvent.screenX, origEvent.screenY, origEvent.clientX, origEvent.clientY, origEvent.ctrlKey, origEvent.altKey, origEvent.shiftKey, origEvent.metaKey, origEvent.button, origEvent.relatedTarget);
+          eventObject.initMouseEvent(event, bubbles === undefined ? origEvent.bubbles : bubbles, origEvent.cancelable, origEvent.view, origEvent.detail, origEvent.screenX, origEvent.screenY, origEvent.clientX, origEvent.clientY, origEvent.ctrlKey, origEvent.altKey, origEvent.shiftKey, origEvent.metaKey, origEvent.button, origEvent.relatedTarget);
         } else if (event.match(regexUiEvents)) {
           eventObject = document.createEvent("UIEvents");
-          eventObject.initUIEvent(event, origEvent.bubbles, origEvent.cancelable, origEvent.view, origEvent.detail);
+          eventObject.initUIEvent(event, bubbles === undefined ? origEvent.bubbles : bubbles, origEvent.cancelable, origEvent.view, origEvent.detail);
         } else if (event.match(regexHtmlEvents)) {
           eventObject = document.createEvent("HTMLEvents");
-          eventObject.initEvent(event, origEvent.bubbles, origEvent.cancelable);
+          eventObject.initEvent(event, bubbles === undefined ? origEvent.bubbles : bubbles, origEvent.cancelable);
         }
         if (!eventObject) {
           return;
@@ -223,11 +241,17 @@
       if (!nonBlockLastElem || nonBlockLastElem !== elBelow) {
         if (nonBlockLastElem) {
           var lastElem = nonBlockLastElem;
-          domEvent(lastElem, 'mouseleave', event);
-          domEvent(lastElem, 'mouseout', event);
+          if (!lastElem.contains(elBelow)) {
+            domEvent(lastElem, 'mouseleave', event, false);
+          }
+          domEvent(lastElem, 'mouseout', event, true);
+          if (!elBelow.contains(lastElem)) {
+            domEvent(elBelow, 'mouseenter', event, false);
+          }
+        } else if (!elBelow.contains(elem)) {
+          domEvent(elBelow, 'mouseenter', event, false);
         }
-        domEvent(elBelow, 'mouseenter', event);
-        domEvent(elBelow, 'mouseover', event);
+        domEvent(elBelow, 'mouseover', event, true);
       }
       domEvent(elBelow, eventName, event);
       // Remember the latest element the mouse was over.
diff --git a/NonBlock.js b/NonBlock.js
index d9ce6ca..0e83e0e 100644
--- a/NonBlock.js
+++ b/NonBlock.js
@@ -80,6 +80,10 @@
     return el.classList.contains('nonblock');
   }
 
+  function isNotPropagating(el) {
+    return el.classList.contains('nonblock-stoppropagation');
+  }
+
   function getCursor(el) {
     const style = window.getComputedStyle(el);
     return style.getPropertyValue('cursor');
@@ -101,7 +105,9 @@
   document.body.addEventListener('mouseenter', (ev) => {
     if (isNonBlocking(ev.target)) {
       nonBlockLastElem = ev.target;
-      ev.stopPropagation();
+      if (isNotPropagating(ev.target)) {
+        ev.stopPropagation();
+      }
     }
   }, true);
   document.body.addEventListener('mouseleave', (ev) => {
@@ -109,6 +115,18 @@
       remCursor(ev.target);
       nonBlockLastElem = null;
       isSelectingText = false;
+      if (isNotPropagating(ev.target)) {
+        ev.stopPropagation();
+      }
+    }
+  }, true);
+  document.body.addEventListener('mouseover', (ev) => {
+    if (isNonBlocking(ev.target) && isNotPropagating(ev.target)) {
+      ev.stopPropagation();
+    }
+  }, true);
+  document.body.addEventListener('mouseout', (ev) => {
+    if (isNonBlocking(ev.target) && isNotPropagating(ev.target)) {
       ev.stopPropagation();
     }
   }, true);
@@ -121,7 +139,9 @@
        window.getSelection().removeAllRanges();
        isSelectingText = true;
      }
-     ev.stopPropagation();
+     if (isNotPropagating(ev.target)) {
+       ev.stopPropagation();
+     }
    }
  }, true);
   document.body.addEventListener('mousedown', (ev) => {
@@ -129,7 +149,9 @@
       ev.preventDefault();
       nonblockPass(ev.target, ev, 'onmousedown');
       isSelectingText = null;
-      ev.stopPropagation();
+      if (isNotPropagating(ev.target)) {
+        ev.stopPropagation();
+      }
     }
   }, true);
   document.body.addEventListener('mouseup', (ev) => {
@@ -140,24 +162,30 @@
         window.getSelection().removeAllRanges();
       }
       isSelectingText = false;
-      ev.stopPropagation();
+      if (isNotPropagating(ev.target)) {
+        ev.stopPropagation();
+      }
     }
   }, true);
   document.body.addEventListener('click', (ev) => {
     if (isNonBlocking(ev.target)) {
       nonblockPass(ev.target, ev, 'onclick');
-      ev.stopPropagation();
+      if (isNotPropagating(ev.target)) {
+        ev.stopPropagation();
+      }
     }
   }, true);
   document.body.addEventListener('dblclick', (ev) => {
     if (isNonBlocking(ev.target)) {
       nonblockPass(ev.target, ev, 'ondblclick');
-      ev.stopPropagation();
+      if (isNotPropagating(ev.target)) {
+        ev.stopPropagation();
+      }
     }
   }, true);
 
   // Fire a DOM event.
-  const domEvent = (elem, event, origEvent) => {
+  const domEvent = (elem, event, origEvent, bubbles) => {
     let eventObject;
     event = event.toLowerCase();
     if (document.createEvent && elem.dispatchEvent) {
@@ -170,7 +198,7 @@
         eventObject = document.createEvent("MouseEvents");
         eventObject.initMouseEvent(
           event,
-          origEvent.bubbles,
+          bubbles === undefined ? origEvent.bubbles : bubbles,
           origEvent.cancelable,
           origEvent.view,
           origEvent.detail,
@@ -187,10 +215,10 @@
         );
       } else if (event.match(regexUiEvents)) {
         eventObject = document.createEvent("UIEvents");
-        eventObject.initUIEvent(event, origEvent.bubbles, origEvent.cancelable, origEvent.view, origEvent.detail);
+        eventObject.initUIEvent(event, bubbles === undefined ? origEvent.bubbles : bubbles, origEvent.cancelable, origEvent.view, origEvent.detail);
       } else if (event.match(regexHtmlEvents)) {
         eventObject = document.createEvent("HTMLEvents");
-        eventObject.initEvent(event, origEvent.bubbles, origEvent.cancelable);
+        eventObject.initEvent(event, bubbles === undefined ? origEvent.bubbles : bubbles, origEvent.cancelable);
       }
       if (!eventObject) {
         return
@@ -259,11 +287,17 @@
     if (!nonBlockLastElem || nonBlockLastElem !== elBelow) {
       if (nonBlockLastElem) {
         const lastElem = nonBlockLastElem;
-        domEvent(lastElem, 'mouseleave', event);
-        domEvent(lastElem, 'mouseout', event);
+        if (!lastElem.contains(elBelow)) {
+          domEvent(lastElem, 'mouseleave', event, false);
+        }
+        domEvent(lastElem, 'mouseout', event, true);
+        if (!elBelow.contains(lastElem)) {
+          domEvent(elBelow, 'mouseenter', event, false);
+        }
+      } else if (!elBelow.contains(elem)) {
+        domEvent(elBelow, 'mouseenter', event, false);
       }
-      domEvent(elBelow, 'mouseenter', event);
-      domEvent(elBelow, 'mouseover', event);
+      domEvent(elBelow, 'mouseover', event, true);
     }
     domEvent(elBelow, eventName, event);
     // Remember the latest element the mouse was over.
diff --git a/README.md b/README.md
index b256fbe..f796b0e 100644
--- a/README.md
+++ b/README.md
@@ -26,6 +26,8 @@ npm install --save nonblockjs
 
 Add the class `nonblock` to any element you want to make nonblocking.
 
+Add the class `nonblock-stoppropagation` if you want NonBlock.js to stop event propagation for mouse events, effectively disguising it from its ancestors.
+
 ## Demos
 
 https://sciactive.github.io/nonblockjs/
diff --git a/index.html b/index.html
index 738fab4..a5c7a8c 100644
--- a/index.html
+++ b/index.html
@@ -26,13 +26,13 @@
       box-shadow: 0px 2px 30px 5px rgba(0,0,0,0.3);
     }
     .intheway.first {
-      position: relative;
-      top: -180px;
+      position: absolute;
+      top: 5px;
       left: 30px;
       height: 100px;
       width: 120px;
     }
-    .intheway.second {
+    .intheway.second, .intheway.third, .intheway.fourth {
       position: absolute;
       top: 4px;
       bottom: 4px;
@@ -51,16 +51,20 @@ <h1>NonBlock.js</h1>
     user hovers over them, and let the user select and interact with elements
     under them. Hover over the purple boxes to try it out.
   </p>
-  <div class="linkcontainer first">
-    This is a <a href="http://google.com" target="_blank">link</a>. Here is some
-    text. Let's have more text. All the text in the world couldn't save you now,
-    Mr. Bond. Ah, but that's where you're wrong. You see, my underpants have
-    been equipped with several tiny lasers that will blind you while the speaker
-    up my butt blasts disco music.
-  </div>
-  <div class="nonblock intheway first">
-    There&apos;s a link under me. I am going to stay in the way of that link.
+  <hr />
+  <div style="position: relative;">
+    <div class="linkcontainer first">
+      This is a <a href="http://google.com" target="_blank">link</a>. Here is
+      some text. Let's have more text. All the text in the world couldn't save
+      you now, Mr. Bond. Ah, but that's where you're wrong. You see, my
+      overalls have been equipped with several tiny lasers that will blind you
+      while the speaker in my straw hat blasts disco music.
+    </div>
+    <div class="nonblock intheway first">
+      There&apos;s a link under me. I am going to stay in the way of that link.
+    </div>
   </div>
+  <hr />
   <div>
     Try toggling nonblocking on this demo:
     <button onclick="document.querySelector('.intheway.second').classList.add('nonblock')">Enable NonBlock</button>
@@ -73,5 +77,52 @@ <h1>NonBlock.js</h1>
       button.
     </div>
   </div>
+  <hr />
+  <div>
+    These demos show how event propagation works. The green box is listening for
+    events and the purple box is a child.
+  </div>
+  <h4>
+    class="nonblock"
+  </h4>
+  <div class="linkcontainer third">
+    This is a <button type="button" onclick="alert('You clicked the button.')">button</button>.
+    <div class="nonblock intheway third">
+      There&apos;s a button under me. I am going to stay in the way of that
+      button.
+    </div>
+  </div>
+  <div style="display: inline-block; font-family: monospace; width: auto;">
+    Event log:
+    <div id="event-third" style="max-height: 250px; overflow: auto;"></div>
+  </div>
+  <h4>
+    class="nonblock nonblock-stoppropagation"
+  </h4>
+  <div class="linkcontainer fourth">
+    This is a <button type="button" onclick="alert('You clicked the button.')">button</button>.
+    <div class="nonblock nonblock-stoppropagation intheway fourth">
+      There&apos;s a button under me. I am going to stay in the way of that
+      button.
+    </div>
+  </div>
+  <div style="display: inline-block; font-family: monospace; width: auto;">
+    Event log:
+    <div id="event-fourth" style="max-height: 250px; overflow: auto;"></div>
+  </div>
+  <script type="text/javascript">
+    function listenerDemo(demo, eventType) {
+      document.querySelector('.linkcontainer.'+demo).addEventListener(eventType, function(event){
+        var output = document.getElementById('event-'+demo);
+        output.innerHTML += '<br />'+eventType+'<br />Target: '+event.target.tagName+' class="'+event.target.className+'"<br />';
+        output.scrollTop = output.scrollHeight;
+      });
+    }
+    var events = ['mouseenter', 'mouseover', 'mouseleave', 'mouseout', 'mousemove', 'mousedown', 'mouseup', 'click', 'dblclick'];
+    for (var i in events) {
+      listenerDemo('third', events[i]);
+      listenerDemo('fourth', events[i]);
+    }
+  </script>
 </body>
 </html>
diff --git a/package-lock.json b/package-lock.json
index fd90095..18e379d 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -1,6 +1,6 @@
 {
   "name": "nonblockjs",
-  "version": "1.0.3",
+  "version": "1.0.4",
   "lockfileVersion": 1,
   "requires": true,
   "dependencies": {
diff --git a/package.json b/package.json
index e535c74..0faaa2f 100644
--- a/package.json
+++ b/package.json
@@ -1,6 +1,6 @@
 {
   "name": "nonblockjs",
-  "version": "1.0.3",
+  "version": "1.0.4",
   "description": "Unobtrusive (click through) UI elements in JavaScript.",
   "keywords": [
     "non blocking",