Hello,
the first thing that struck me had been the names of your images. I fear DW mouse over doesn't like these "' " (quotation marks?) and so too the spacings, even including round brackets. Here an example: "10-2-2012 (5).JPG". And I also found some *.JPG instead of *.jpg (see enigmahead9-12.JPG for example).
Using your source code and by deleting the quotation marks, I could swap the images in Live view:
<td height="20" align="left" class="description"><a href="#" onmouseout="MM_swapImgRestore()" onmouseover="MM_swapImage('Enigma 2013 female','','assets/w.site.images/femalepage/10-13EnigmaxINV.jpg',1)"> <a href="#" onmouseout="MM_swapImgRestore()" onmouseover="MM_swapImage('Enigma 2013 female','','assets/w.site.images/femalepage/10-13EnigmaxINV.jpg',1)"><img src="assets/w.site.images/femalepage/1013Enigmafemalecria.jpg" alt="Enigma x Invinceable 2013 female" name="Enigma 2013 female" width="224" height="314" border="2" id="Enigma 2013 female" /></a></td>
Good luck!
Hans-Günter