Ohio has a reciprocal agreement, on wages, with all neighboring states. No Ohio state taxes are withheld or due and you do not need to file an OH return. But your home state will tax you on your Ohio income.
If Ohio taxes are mistakenly withheld, you have to file an Ohio return to get a refund. You should ask your employer to stop withholding so you don't have to file an Ohio return every year. If box 15 of your W-2 has OH and there is an amount in box 17, there was OH state withholding. However if there is OH in box 15 and boxes 16 & 17 are blank but there are entries in boxes 18-20, OH is only shown to identify the state of the city tax withholding. You do not need to file an OH state return.
However the reciprocity agreement does not apply to local city (Toledo) taxes. You are not required to file a local city return, but you are also not entitled to a refund of the city withholding (box 19 f the W-2), unless there was an error in the amount. But, Michigan will give you credit for that on the state return, but you have to attach a copy of the city return. So, even though the Ohio city does not require you to file a return, you have to file one (or, at least, prepare one) to get the MI credit, even though there will be no tax due or refunded from the Ohio city.
