Ohio Rev. Code Ann. § 2307.61
(A) If a property owner brings a civil action pursuant to division (A) of section 2307.60 of the Revised Code to recover damages from any person who willfully damages the owner's property or who commits a theft offense, as defined in section 2913.01 of the Revised Code, involving the owner's property, the property owner may recover as follows:
(1) In the civil action, the property owner may elect to recover moneys as described in division (A)(1)(a) or (b) of this section:
(a) Compensatory damages that may include, but are not limited to, the value of the property and liquidated damages in whichever of the following amounts applies:
(b) Liquidated damages in whichever of the following amounts is greater:
(2) In a civil action in which the value of the property that was willfully damaged or was the subject of a theft offense is less than five thousand dollars, the property owner may recover damages as described in division (A)(1)(a) or (b) of this section and additionally may recover the reasonable administrative costs, if any, of the property owner that were incurred in connection with actions taken pursuant to division (A)(2) of this section, the cost of maintaining the civil action, and reasonable attorney's fees, if all of the following apply:
(C) For purposes of division (A)(2) of this section, a written demand for payment shall include a conspicuous notice to the person upon whom the demand is to be served that indicates all of the following:
(G)
(H) As used in this section:
(2) "Value of the property" means one of the following: