Ohio Rev. Code Ann. § 3503.30

When by mistake a qualified elector has caused himself to be registered in a precinct which was not his place of residence, the board of elections, on full and satisfactory proof that such error was committed by mistake, may, on his personal application and proof of his true residence, correct his registration form. The board may correct all errors occurring in the registration of electors when it finds that the errors subject to correction were not of fraudulent intent.