Do you have a link to your site?

The purpose of the site is for internal access only. Unfortunately I am not sure how to allow external viewing to this site. I will attempt a screenshot to show you what happened so far.

Hmm. Cant really tell much from the screenshot as to why its not working. Could you perhaps copy / paste the generated page source code to pastebin and paste a link here? Or maybe paste the screenshots of the menu module settings?

I was able to get the screen shots of the menu module settings. I believe I used the settings described in the documentation for the Main Menu.

Try removing the module class suffix that is set to "_menu". Leave it blank as per the documentation...
Also, what version of the template are you using?

My apologies for the delay.

I just removed the "_menu" from the Main Menu" module class suffix. I did not see it anywhere else.
I am using Joomla version 2.5. I am using Neutrino Template version 1.3

I wanted to add some additional information and a screen shot.

The Main Menu is listed in the Navigation position. It does not use the drop-down function. I am not sure why, but would like it to use the drop-down function for the site administrator, about us, and log out items.

There is a Branch Office menu that appears. This should actually be a sub-menu of its own, but the drop-down function works well enough to be able to describe one of my problems. The Branch Office menu does use the drop-down menu. It initially works well. The bottom branch, West Chester, contains additional drop-down items. I do not want them listed as drop-down items. I want to be able to click on the West Chester branch, and then have additional sub-menus appear in the left position. Once the West Chester sub-menu items appear on the left side position, I want to be able to click on an item, and it will display in the Content position. I do have separate modules for those items such as Sales and Marketing.

I hope that you understand what I am trying to do with the template and with Joomla. A screen shot is attached.

For starters, it looks like the drop-down menu is behaving as expected. I think I understand what you're trying to achieve here, however, most of this is directly related to how you structure your menus within joomla and not really a bug or defect with the template itself.

You should also google/read up on "split menus" - that is the name for the implementation that you're trying to achieve - though I've personally not tested this on neutrino.

http://docs.joomla.org/Split_menus

I was not aware that what I was trying to do was a split menu. I knew I was having difficulty with my Joomla built-in template, and noticed that Neutrino had the drop-down menu I was looking for to help with that aspect. I will go to the Joomla forums and get some more information there. I will check back here if I find any new information.

No probs. Like I mentioned above though, I've personally not tried out split menus on neutrino (I cant recall when last i created one!). So not sure if neutrino will work as required for this. All the best with your site!