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 WV are mistakenly withheld, you then have to file a WV non resident return 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 WV return every year.
File Form WV/IT-104 West Virginia Employee Withholding Exemption Certificate, to your employer.
You are going to have to pay the full yearly amount to OH, with your OH tax filing.
