Ohio Revised Code Title III. Counties § 305.021

(A) When there is a vacancy in the county engineer's office as a result of death or resignation and the vacancy cannot be filled by election or appointment as provided in section 305.02 of the Revised Code, or if no one runs for the office of county engineer and, for that reason, the office is vacant, the board of county commissioners may contract with another county's county engineer to exercise the powers and perform the acts, duties, or functions of the county engineer.  Notwithstanding any contrary provision of the Revised Code or the common law, the same person may serve as the county engineer of more than one county, including adjacent counties, under this section.

(B) A county engineer with whom the board contracts shall receive supplemental compensation for services rendered under the contract in an amount that is not less than eighty per cent nor more than one hundred per cent of the compensation specified in sections 325.14 and 325.18 of the Revised Code for the population range of the county in which the engineer is contracted to perform services, prorated for the duration of the contract.  The supplemental compensation shall have no effect on the compensation a county engineer receives for serving as county engineer in the county in which the engineer holds office.  The duration of the contract shall not extend beyond the last day of the term for which there was a vacancy.