Ohio Rev. Code § 2949.14: Collection of court costs from felon.

Upon conviction of a nonindigent person for a felony, the clerk of the court of common pleas shall make and certify under the clerk's hand and seal of the court, a complete itemized bill of the costs made in such prosecution, including the sum paid by the board of county commissioners, certified by the county auditor, for the arrest and return of the person on the requisition of the governor, or on the request of the governor to the president of the United States, or on the return of the fugitive by a designated agent pursuant to a waiver of extradition except in cases of parole violation. The clerk shall attempt to collect the costs from the person convicted.