Ohio Revised Code Title XXIX. Crimes Procedure § 2949.17

(A) The sheriff may take one guard for every two convicted felons to be transported to a correctional institution. The trial judge may authorize a larger number of guards upon written application of the sheriff, in which case a transcript of the order of the judge shall be certified by the clerk of the court of common pleas under the seal of the court, and the sheriff shall deliver the order with the convict to the person in charge of the correctional institution.

(B) In order to obtain reimbursement for the county for the expenses of transportation for indigent convicted felons, the clerk of the court of common pleas shall prepare a transportation cost bill for each indigent convicted felon transported pursuant to this section for an amount equal to not less than one dollar a mile from the county seat to the state correctional institution and return for each prisoner. The number of miles shall be computed by the usual route of travel. The clerk's duties under this division are subject to division (B) of section 2949.19 of the Revised Code.