Ohio Rev. Code § 5119.96
When a probate court is authorized to issue an order that the respondent be transported to a hospital, the court may issue a summons. If the respondent fails to attend an examination scheduled before the hearing under section 5119.94 of the Revised Code, the court shall issue a summons. A summons so issued shall be directed to the respondent and shall command the respondent to appear at a time and place specified in the summons. If a respondent who has been summoned fails to appear at the hospital or the examination, the probate court may order the sheriff or any other peace officer to transport the respondent to a hospital on the list provided under section 5119.97 of the Revised Code for treatment. The sheriff or any other peace officer, upon agreement of a person authorized by the peace officer, may authorize a board of alcohol, drug addiction, and mental health services, a private services provider under contract with a board of alcohol, drug addiction, and mental health services, or an ambulance service designated by a board of alcohol, drug addiction, and mental health services to transport the respondent to the hospital. The transportation costs of the sheriff, other peace officer, ambulance service, or other private services provider under contract with the board of alcohol, drug addiction, and mental health services shall be included in the costs of treatment for alcohol and other drug abuse to be paid by the petitioner.
R.C. § 5119.96