Not to get into a semantics argument but if Tom Hanks played an eponymous protagonist he played a protagonist named Tom Hanks.
If a school was named after Nathan Bedford Forrest it is an eponymous school. The name has to be the same.
You could say that Nathan Bedford Forrest had an eponymous character in a Tom Hanks movie, and if you weren't being too picky about only having one name in common I'd sorta buy that, but by that logic Forrest Gregg was closer to having an eponymous character in the movie, and Gump played football!
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