If, after receiving notice of his election or appointment to a township office, a person so elected or appointed fails to take the oath of office and give bond within the time required, he is deemed to have refused the office, and the vacancy shall be filled as provided in section 503.24 of the Revised Code.
Failure to accept office
Ohio Rev. Code Ann. § 503.27, under Chapter 503 | General Provisions.
Ohio Rev. Code Ann. § 503.27