Ohio Rev. Code § 107.04: Governor may issue warrant in certain cases.

When the governor requires the aid of a ministerial officer in exercising any of the powers granted in Section 11 of Article III, Ohio Constitution, or any authority vested in him by law, he may issue his warrant directed to the sheriff of any county in the state commanding such sheriff to execute his orders, and make return thereof in such manner as he directs. A sheriff who refuses or willfully fails to comply with such warrant shall pay to the state five hundred dollars, to be recovered in the name of the state by suit in the county where such sheriff resides.