If you can't find the template name above the area, then it could be because it is the main template for the whole page. However, in this case it looks like you just needed to look up the page source a few more lines and you would have seen the Start of the Navbar template which is the template it's in. Another way to find the template is a Search in Templates for comments. Like try a Search in Templates for "NAVBAR POPUP MENUS" which is right below your area of interest. You'd then find this in the template right above that comment and this is the area you'll want to modify:
HTML Code:
<if condition="$show['forumdesc']">
<table class="tborder" cellpadding="$stylevar[cellpadding]" cellspacing="$stylevar[cellspacing]" border="0" width="100%" align="center">
<tr>
<td class="alt1" width="100%"><strong>$foruminfo[title]</strong> <span class="smallfont">$foruminfo[description]</span></td>
</tr>
</table>
<br />
</if>