State tax filing

Thanks for the very detailed answer!

Upon checking back my w-2, I see that it shows taxes withheld for Piqua SD and Sidney City, but I don't see tax withheld for Piqua City. Is the amount withheld for school tax also a city tax, too?

Sidney's city website states that non-resident who works in Sidney also must file tax returns. It's contradicting to your statement. Can you elaborate on this?