Ohio Rev. Code § 3.30
Except as otherwise provided in section 3.061 of the Revised Code, a person elected or appointed to an office who is required by law to give a bond or security previous to the performance of the duties imposed on the person by the person's office, who refuses or neglects to give such bond or furnish such security within the time and in the manner prescribed by law, and in all respects to qualify self for the performance of such duties, is deemed to have refused to accept the office to which the person was elected or appointed. Such office shall be considered vacant and shall be filled as provided by law.
A person subject to a policy adopted under section 3.061 of the Revised Code, when the policy is in effect and becomes applicable to the person upon the beginning of the person's term of office or employment, is deemed to have refused to accept the office or employment when the person fails to take, certify, and file the oath of office as required by law or fails to document proof of insurance coverage as provided in division (D) of section 3.061 of the Revised Code and the office shall be considered vacant and shall be filled as provided by law.
A person who becomes subject to a policy adopted under section 3.061 of the Revised Code during the person's term of office or employment is deemed to have vacated the office when the person fails to document proof of insurance coverage as provided in division (D) of section 3.061 of the Revised Code and the vacancy shall be filled as provided by law.
R.C. § 3.30