Ohio Rev. Code § 2301.25
When ordered by the prosecuting attorney or the defendant in a criminal case or when ordered by a judge of the court of common pleas in either civil or criminal cases, the costs of transcripts shall be taxed as costs in the case, collected as other costs, whether the transcripts have been prepaid or not, as provided by section 2301.24 of the Revised Code, paid by the clerk of the court of common pleas quarterly into the county treasury, and credited to the general fund. If, upon final judgment, the costs or any part of the costs are adjudged against a defendant in a criminal case, the defendant shall be allowed credit on the cost bill of the amount paid for the transcript the defendant ordered and, if the costs are finally adjudged against the state, the defendant shall have the defendant's deposit refunded. All transcripts shall be taken and received as prima-facie evidence of their correctness. If the testimony of witnesses is taken before the grand jury by reporters, they shall receive for the transcripts the same compensation and be paid in the same manner as provided in this section and section 2301.24 of the Revised Code.
R.C. § 2301.25