Reusing a submenu on a dropdown?

Does anyone know if any plugin or script exists to take a parent menu’s dropdown, and use that as an element elsewhere on the page?

for example, you have a menu that display this when you hover over one of the items:
http://i.imgur.com/978fuWi.png

And on the actual page you re-use that dropdown menu on the top as another way for the user to explore your page’s parent/children, it’d be something like this:
http://i.imgur.com/s3rHLtD.png

Right now I’m using a script that displays the page’s parent and all it’s children, as opposed to grabbing a sub-menu – the only problem with this method is that it doesn’t list them in the same order as in the menu, it alphabetizes the items automatically.

The best way my friend came up with so far is making a new template and menu for every single page. Seems like an extraordinary amount of work for something potentially so simple!

I hope this makes sense, I can clarify more if needed!