Ohio Rev. Code § 5555.93
Whenever the board of county commissioners or the board of township trustees may levy on the general duplicate of the county or of any township therein any portion of the cost and expense of the construction or improvement of any public road, and such levy is, in pursuance of such authority, made upon property already assessed for payment of the total cost and expenses of construction of a public road, and such assessments or any portion thereof remain unpaid at the time of the making of the general levy, the board of county commissioners in case such levy is upon the grand duplicate of the entire county, or the board of township trustees of the proper township in case such levy is upon the grand duplicate of one or more townships in such county, may assume and pay out of any funds under its control, and not otherwise appropriated, such portion of such outstanding assessments as is represented by the portion of the amount of the total cost and expenses of such subsequent improvement as is levied upon the grand duplicate of the county, against the taxable property of the county or township.
R.C. §5555.93