Ohio Rev. Code § 727.20
When claims for damages are filed in accordance with section 727.18 of the Revised Code and the legislative authority of the municipal corporation determines, in the ordinance adopted under section 727.23 of the Revised Code, that the damages shall be assessed after the completion of the improvement, the municipal corporation shall, within ten days after the completion of such improvement, make written application to the court of common pleas, or a judge thereof in vacation, or to the probate court of the county in which the municipal corporation or the larger area thereof is situated, to summon a jury in the manner provided by section 163.10 of the Revised Code, to assess the amount of damages in each particular case. Such court shall fix the time and place of inquiry and the assessment of damages, which inquiry and assessment shall be confined to such claims.
R.C. §727.20