Ohio Revised Code Title XXIX. Crimes Procedure § 2937.28

All recognizances shall be returnable to and all deposits shall be held by or subject to the order of the court or magistrate before whom the accused is to appear initially, and upon the transfer of the case to any other court or magistrate shall be returnable to and transmitted to the transferee court or magistrate.

It is not necessary for the accused to give new recognizance for appearance in common pleas court for arraignment upon indictment or pending appeal after judgment and sentence, unless the magistrate or judge of the trial court or the court to which appeal is taken, shall, for good cause shown, increase or decrease the amount of the recognizance, but such recognizance shall continue and be in full force until trial and appeal therefrom is finally determined. When two or more charges are filed, or indictments returned, against the same person at or about the same time, the recognizance given may be made to include all offenses charged against the accused.