Ohio has a reciprocal agreement, on wages, with all neighboring states. No state taxes
are withheld or due and you do not normally need to file a return for the other
state (MI, PA, KY, WV, IN). But OH will tax you on your other state income.
If other state taxes are
mistakenly withheld, you then have to file a return, for the other state, to
get a refund. OH will not give you a credit. You should ask your employer to stop withholding
so you don't have to file a IN return every year.
However the reciprocity
agreement does not apply to local county income tax. You can not
get those refunded, but if you live in an Ohio city with a tax, they may give you a
credit or partial credit. Many do. You need to check with your city.
