12:17:21 PM Sep 23rd 2010
This trope's name is weird. The adjective "eponymous" means "giving its name to something". In the cases at hand, it's not the show that gives its name to something, but a person or character featured in it who gives the show (part of) its name. For the sake of accuracy, I suggest we change the trope name to "The Eponym Show", since the definition of "eponym" is (after The Other Wiki) "the name of a person, whether real or fictitious, after which a particular place, tribe, era, discovery, or other item is named or thought to be named." This fits the definition of the trope much better.