Ohio Rev. Code Ann. § 2731.13

When a peremptory mandamus has been directed to a public officer, body, or board commanding the performance of a public duty specially enjoined by law, and the court finds that such officer, or a member of such body or board, without just excuse, refused or neglected to perform the duty so enjoined, such court may impose a fine not exceeding five hundred dollars upon such officer or member. Such fine shall be paid into the county treasury of the county in which the duty should have been performed, and its payment is a bar to an action for any forfeiture or fine incurred by such officer or member by reason of such refusal or neglect.