Discard the SELECT option. Try replacing it with an additional list:
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html>
<body>
<ul> Numbers
<li>1</li>
<li>2</li>
<li>3</li>
<li>
Select -->
<ul>
<li>
One
</li>
<li>
Two
</li>
<li>
Three
</li>
</ul>
</li>
</ul>
</body>
</html>
This works in both Chrome and IE.
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