Ohio Rev. Code § 2151.36
Except as provided in section 2151.361 of the Revised Code, when a child has been committed as provided by this chapter or Chapter 2152. of the Revised Code, the juvenile court shall issue an order pursuant to Chapters 3119., 3121., 3123., and 3125. of the Revised Code requiring that the parent, guardian, or person charged with the child's support pay for the care, support, maintenance, and education of the child. The juvenile court shall order that the parents, guardian, or person pay for the expenses involved in providing orthopedic, medical, or surgical treatment for, or for special care of, the child, enter a judgment for the amount due, and enforce the judgment by execution as in the court of common pleas.
Any expenses incurred for the care, support, maintenance, education, orthopedic, medical, or surgical treatment, and special care of a child who has a legal settlement in another county shall be at the expense of the county of legal settlement if the consent of the juvenile judge of the county of legal settlement is first obtained. When the consent is obtained, the board of county commissioners of the county in which the child has a legal settlement shall reimburse the committing court for the expenses out of its general fund. If the department of children and youth considers it to be in the best interest of any delinquent, dependent, unruly, abused, or neglected child who has a legal settlement in a foreign state or country that the child be returned to the state or country of legal settlement, the juvenile court may commit the child to the department for the child's return to that state or country.
Any expenses ordered by the court for the care, support, maintenance, education, orthopedic, medical, or surgical treatment, or special care of a dependent, neglected, abused, unruly, or delinquent child or of a juvenile traffic offender under this chapter or Chapter 2152. of the Revised Code, except the part of the expense that may be paid by the state or federal government or paid by the parents, guardians, or person charged with the child's support pursuant to this section, shall be paid from the county treasury upon specifically itemized vouchers, certified to by the judge. The court shall not be responsible for any expenses resulting from the commitment of children to any home, public children services agency, private child placing agency, or other institution, association, or agency, unless the court authorized the expenses at the time of commitment.
R.C. § 2151.36