I wanted to put this in here, just in case somebody else stumbles onto this thread with the same problem.
Apparently, jQuery's ".hover" is better suited than its ".mouseover"/".mouseout" for what I was trying to accomplish. It's also worth noting that I increased the height of the "experience" div to get rid of the invisible gap between the menu title and the black backdrop.
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<head>
<style type="text/css">
body, td, th
{font-family:Arial, Helvetica, sans-serif; font-size:12px; color:#FFF}
body
{background-color:#ea001c}
</style>
</head>
<body>
<script type="text/javascript" src="jQuery.js"></script>
<script type="text/javascript">
$(document).ready(function() {
$("#dropbar").hide();
$("#backdrop").hide();
$("#11").hide();
$("#12").hide();
$("#13").hide();
$("#experience").stop(true, true).hover(function(){
$("#dropbar").stop(true, true).slideDown(400);
$("#backdrop").stop(true, true).delay(400).fadeIn(1).animate({height:80, width:79},"fast");
$("#11").stop(true, true).delay(650).fadeIn(1).animate({height:14, width:79},"fast");
$("#12").stop(true, true).delay(650).fadeIn(1).animate({height:14, width:79},"fast");
$("#13").stop(true, true).delay(650).fadeIn(1).animate({height:14, width:79},"fast");
},
function() {
$("#13").stop(true, true).animate({height:14, width:0},"fast").hide(1);
$("#12").stop(true, true).animate({height:14, width:0},"fast").hide(1);
$("#11").stop(true, true).animate({height:14, width:0},"fast").hide(1);
$("#backdrop").stop(true, true).delay(300).animate({height:80, width:0},"fast").hide(1);
$("#dropbar").stop(true, true).delay(500).slideUp(400).hide(1);
});
});
</script>
<div id="experience" style="font-size:14px; width:87px; height:20px; z-index:18; text-align:center;"> <img src="../images/experience.png" width="87" height="17" />
<div id="backdrop" style="z-index:18; position:absolute; top:26px; left:12px; width:1px; height:80px; text-align:center;" > <img src="../images/dropbar_background.png" />
<div id="11" style="z-index:18; position:absolute; top:8px; left:2px; width:1px; height:30px; text-align:center;" > <a href= "http://www.listen.org" style="text-decoration:none; color:#FFF;">listen</a> </div>
<div id="12" style="z-index:18; position:absolute; top:33px; left:2px; width:1px; height:30px; text-align:center;" > <a href="http://www.listen.org" style="text-decoration:none; color:#FFF">watch</a> </div>
<div id="13" style="z-index:18; position:absolute; top:58px; left:2px; width:1px; height:30px; text-align:center;" > <a href="http://www.listen.org" style="text-decoration:none; color:#FFF">read</a> </div>
</div>
<div id="dropbar" style="z-index:17; position:absolute; top:22px; width:3px; height:84px;" > <img src="../images/dropbar.png"> </div>
</div>
</body>