Ohio Rev. Code § 5579.02
The director of transportation, board of county commissioners, or board of township trustees may appropriate a right-of-way or crossing over railroad tracks and lands held by railway companies, whether operated by steam or electricity, and may appropriate the necessary property and right to construct such crossing above or below the grade of the railway. Such proceedings shall be had thereon as are provided for appropriation of property by municipal corporations. In case the grade of the road at such crossing is raised or lowered above or below the railroad tracks, by agreement or order of the court, the cost of raising or lowering such grade shall be apportioned between the board of county commissioners or board of township trustees and the company in the same proportion as in cases in which a grade is raised or lowered on a crossing already established or existing.
R.C. §5579.02