Sorry, can't post a url yet, but maybe I can try to illustrate:
Below is a weak attempt at illustrating: When you create a category in admin, then view the category on the "site" there is a path, then the category title, then the category thumb. like this:
-------------------------------------------------------------------------------------
www.site.com::category name
category name <-----I want to eliminate display of category
name!
XXXXXXXXXXXXXXXXXXX
X X
X category X
X thumbnail X
X X
X X
XXXXXXXXXXXXXXXXXXX
Apologies for the primitive rendering!