A person entitled to nonidentifying information under subsection (c) of § 45a-746 may request the information provided in said section by applying in person or in writing to the child-placing agency in this state or the department which has the information. Such information shall not be released unless the child-placing agency or department is satisfied as to the identity of the person requesting information under the provisions of this section. For the purposes of this section, any records at the Court of Probate or the Superior Court or the Department of Public Health shall be available to an authorized representative of the child-placing agency or department to which the request has been made. Such information may be released in writing or in person.