Hmm... are you sure? I just tested out the code I used above and it works for me. The only thing I modified is the path to the SWF -- I used an absolute URL since I'm running this from outside your site on my own machine. For example, create a blank new HTML document and paste this in your body:
<object classid="clsid:D27CDB6E-AE6D-11cf-96B8-444553540000" codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=9,0,28,0" width="526" height="333" title="MLFlash">
<param name="movie" value="http://nyperiodontics.com/pics/mlflashnew.swf" />
<param name="quality" value="high" />
<embed src="http://nyperiodontics.com/pics/mlflashnew.swf" quality="high" pluginspage="http://www.adobe.com/shockwave/download/download.cgi?P1_Prod_Version=ShockwaveFlash" type="application/x-shockwave-flash" width="526" height="333"></embed>
</object>
You can run this locally on your computer and see that it works.
BTW: Preview it in your web browser as opposed to Dreamweaver -- that's what matters most.
