There should be a button underneath that says "edit wishlist name." If you do not see a button, your browser or custom css may be blocking it.

Could you tell me which wishlist and I will see what I can find out.

Oooo I wonder...is it your only private one? Try switching to public, wait a bit in case there is a cache on it, and see if you can rename it.

It may be that it is just too big. Let me speak with the programmer and see. I would put it as public while it is being looked into!