Ohio Revised Code Title VII. Municipal Corporations § 715.16

(A) Establish, erect, maintain, and regulate jails, morgues, workhouses, station houses, prisons, and farm schools;

(B) Agree with the board of county commissioners of any county in which such municipal corporation is located for the lease of suitable quarters in county buildings, existing or to be erected, for police and municipal courts, police stations, police prosecutors' offices, probation officers' quarters, and other similar municipal purposes.