Ohio Rev. Code Ann. § 503.20

If parcels of a township have been attached to territory in different counties, the board of township trustees shall certify an abstract of the tax levied under sections 503.18 and 503.19 of the Revised Code upon the property in such parcels to the county auditors of the respective counties, with the names of the persons so assessed, and the amount assessed to each. Such auditors shall thereupon enter such levies upon the tax list and duplicate, designating the persons taxed, and for what purpose the levy was made, and the taxes shall be collected on such property as in other cases.