Ohio Rev. Code Ann. § 2949.13

During the time the sheriff is conveying a convicted felon to an institution for imprisonment therein, he may secure him in a jail and demand the assistance of a sheriff, jailer, or other person in keeping such prisoner, as if he were in his own county. Such sheriff, jailer, or other person is liable, on refusal, to like penalties as if the sheriff making the demand were in his own county.