Ohio Rev. Code Ann. § 733.31
(A) Unless otherwise provided by law, vacancies arising in appointive and elective offices of villages shall be filled by appointment by the mayor for the remainder of the unexpired term, provided that:
(D) In case of the death, resignation, removal, or disability of the director of law, auditor, or treasurer of a city and such vacancy occurs more than forty days before the next general election for such office, a successor shall be elected at such election for the unexpired term unless such term expires within one year immediately following the date of such general election. In either event, the vacancy shall be filled as provided in this section and the appointee shall hold office until a successor is elected and qualified.