The county in which a prisoner was confined as provided by sections 341.12 and 341.13 of the Revised Code, shall have a right of action against the county from which such prisoner was sent, for damages done by him to the jail or other property of the county.
County using jail of another county liable for damages
Ohio Rev. Code Ann. § 341.18, under Chapter 341 | Jails.
Ohio Rev. Code Ann. § 341.18