It's funny, I actually thought about that while writing. I decided to mesh it with "Cincinnati" for four reasons.
1) It is easier for readers who may not know where Middletown is.
2) It is grouped in with Cincinnati as defined by the U.S. Census Bureau.
3) They play in the same conference (GMC) as my alma mater, Sycamore.
4) They have a pretty darn good Skyline Chili.