(A) Except as provided in division (B) of this section, if a child is living with a grandparent who has made reasonable attempts to locate and contact both of the child’s parents, or the child’s guardian or custodian, but has been unable to do so, the grandparent may obtain authority to exercise care, physical custody, and control of the child including authority to enroll the child in school, to discuss with the school district the child’s educational progress, to consent to all school-related matters regarding the child, and to consent to medical, psychological, or dental treatment for the child by executing a caretaker authorization affidavit in accordance with section 3109.67 of the Revised Code. (B) The grandparent may execute a caretaker authorization affidavit without attempting to locate the following parent:
(1) If paternity has not been established with regard to the child, the child’s father. (2) If the child is the subject of a custody order, the following parent:
(a) A parent who is prohibited from receiving a notice of relocation in accordance with section 3109.051 of the Revised Code; (b) A parent whose parental rights have been terminated by order of a juvenile court pursuant to Chapter 2151. of the Revised Code.