Ohio Rev. Code Ann. § 3734.07
(D) If the entry authorized by division (C) of this section is refused or if the inspection or investigation so authorized is refused, hindered, or thwarted by intimidation or otherwise and the director, board of health, or authorized representative of either applies for and obtains a search warrant under division (C) of this section to conduct the inspection or investigation, the owner or operator of the premises where entry was refused or inspection or investigation was refused, hindered, or thwarted is liable to the director or board of health for the reasonable costs incurred by either for the regular salaries and fringe benefit costs of personnel assigned to conduct the inspection or investigation from the time the entry, inspection, or investigation was refused, hindered, or thwarted until the search warrant is executed; for the salary, fringe benefits, and travel expenses of the attorney general, prosecuting attorney of the county, or city director of law, or an authorized assistant, incurred in obtaining the search warrant; and for expenses necessarily incurred for the assistance of local law enforcement officers in executing the search warrant. In the application for the search warrant, the director or board of health may request and the court, in its order granting the search warrant, may order the owner or operator of the premises to reimburse the director or board of health for such of those costs as the court finds reasonable. From moneys recovered under this division, the director shall reimburse the attorney general for the costs incurred by the attorney general or the attorney general's authorized assistant in connection with proceedings for obtaining the search warrant; shall reimburse the political subdivision in which the premises is located for the assistance of its law enforcement officers in executing the search warrant; and shall deposit the remainder of any such moneys to the credit of the following, as applicable: