there isnt any code in the source for a second submenu:
<li class="parent"><a href="specialty_objectives.html">Specialty Objectives</a>
<ul class="level-1">
<li><a href="cardiothoracic.html">Cardiothoracic</a></li>
<li><a href="colorectal_disease.html">Colorectal</a></li>
<li><a href="general.html">General Surgery</a></li>
<li><a href="neurosurgery.html">Neurosurgery</a></li>
<li><a href="orthopaedics.html">Orthopedics</a></li>
<li><a href="otolaryngology.html">Otolaryngology</a></li>
<li><a href="pediatrics.html">Pediatrics</a></li>
<li><a href="plastics.html">Plastic Surgery</a></li>
<li><a href="trauma.html">Trauma</a></li>
<li><a href="urology.html">Urology</a></li>
<li><a href="vascular.html">Vascular Surgery</a></li>
</ul>
</li>
a second submenu would be in a ul with the class set to level-2
it would seem to me that the version of the page on your local system that shows the second submenu is a newer version of the page than the one on the server. re upload the page to the server.