Ohio Revised Code General Provisions § 7.15

In any action brought in any court, other than the probate court, in which service by publication is made, the party causing such publication to be made shall deposit with the clerk or other proper officer of such court an amount of money as determined by the clerk to be sufficient to cover the cost of such publication, and the clerk may pay from such deposit the cost of such publication upon its completion and the filing of proof of publication. If court costs are taxed against a party to such action, other than the party making such deposit, the clerk or other proper officer may, upon the payment of such costs, return said deposit to the party who made it.