Ohio Rev. Code Ann. § 2935.15

Amount of bail, and nature of security therefor in misdemeanor cases may be set by a schedule fixed by the court or magistrate, or it may be endorsed on the warrant by the magistrate or clerk of the issuing court. If the amount be not endorsed on the warrant, the schedule set by the court or magistrate before whom bail is taken shall prevail. All recognizances taken, or cash received shall be promptly transmitted to the court issuing the warrant, and further proceedings thereon shall be the same as if taken by the issuing court.