Ohio Rev. Code § 3107.63: Birth parent may request open adoption agreement.

(A) A birth parent who voluntarily chooses to have the birth parent's child placed for adoption may request that the agency or attorney arranging the child's adoptive placement provide for the birth parent and prospective adoptive parent to enter into an open adoption with terms acceptable to the birth parent and prospective adoptive parent. Except as provided in division (B) of this section, the agency or attorney shall provide for the open adoption if the birth parent and prospective adoptive parent agree to the terms of the open adoption.

(B) An agency or attorney arranging a child's adoptive placement may refuse to provide for the birth parent and prospective adoptive parent to enter into an open adoption. If the agency or attorney refuses, the agency or attorney shall offer to refer the birth parent to another agency or attorney the agency or attorney knows will provide for the open adoption.