Ohio Rev. Code Ann. § 3111.30

Once an acknowledgment of paternity becomes final, the office of child support shall notify the department of health of the acknowledgment. If the original birth record is inconsistent with the acknowledgment, on receipt of the notice, the department of health shall, in accordance with section 3705.09 of the Revised Code, prepare a new birth record consistent with the acknowledgment and substitute the new record for the original birth record.