Ohio Rev. Code Ann. § 2949.111
(A) As used in this section:
(B) Unless the court, in accordance with division (C) of this section, enters in the record of the case a different method of assigning payments, if a person who is charged with a misdemeanor is convicted of or pleads guilty to the offense, if the court orders the offender to pay any combination of court costs, state fines or costs, restitution, a conventional fine, or any reimbursement, and if the offender makes any payment of any of them to a clerk of court, the clerk shall assign the offender's payment in the following manner: