I have tried the following HTML code and neither works for playing .mov files in Firefox or IE
<video controls="controls" src="video/video_1429118630.MOV">Your browser does not support the <code>video</code> element.</video>-->
<embed src="video/video_1429118630.MOV"
Pluginspage="http://www.apple.com/quicktime/"
width="320" height="250" CONTROLLER="true" LOOP="false"
AUTOPLAY="false">
</embed>
Not sure what I am doing wrong
You are not doing anything wrong, the video couldn't play because the MIME type being sent is not supported. Try serving the video from a web server such us Apache and the MIME type will be automatically set for you. Here is a link of MIME types of some common video file extension