Ohio Rev. Code § 159.02
In case there is any street or alley not exceeding twenty-five feet in width, running through any block or tract of land purchased or acquired by the United States under section 159.01 of the Revised Code, all that portion of such street or alley within such block or tract of land shall, upon the acquisition of the same by the United States, be vacated and closed, and the lots or tracts of land abutting upon any such street or alley shall extend to the center line thereof, and vest in the United States, and become the property thereof, with full right, power, and authority to use, occupy, and enjoy the same as its own property in fee, to the same extent as if the same had never been used or occupied as a street or alley. Any person owning or having an equitable interest in any land abutting upon any such alley, but not situate upon, nor separated by a public street from the portion thereof sought to be vacated and closed, shall have a right in any proceedings for such appropriations to set up any claim for damages that would be occasioned to such land by such vacation and closure, and have a finding and judgment thereon, as to the same, as in other cases.
R.C. §159.02