N.H. Rev. Stat. § 5-C:32

I. Adoptions shall be recorded pursuant to this section and RSA 170-B:22. II. In accordance with the reporting requirements cited in RSA 170-B:22, the clerk of the county probate court shall send a completed adoption form, as referenced in RSA 5-C:31, for each child adopted in the state of New Hampshire to the division within 7 days after the final decree is filed. III. Upon receipt of a notice of adoption from the probate court, the clerk of the town or city of birth occurrence shall immediately process a new birth record and, within 2 weeks, forward a copy to the division. IV. Upon receipt by the division of a notice of adoption in New Hampshire for a child born out-of-state the division shall send notice of the adoption to the vital records agency of the state of birth so that the birth record in that state can be amended and, if the adoption notice received by the division contains inaccurate or missing information, the state registrar shall return the notice to the court issuing the adoption decree via the applicable state's vital records agency asking for necessary corrections. V. Upon the receipt of a notice of an out-of-state adoption of a child born in the state of New Hampshire, the division shall send notice of the adoption to the clerk of the town or city of birth occurrence. When the clerk receives the above notice, he or she shall follow the procedure outlined in RSA 5-C:33 for amending the birth record. When out-of-state adoptions are being processed, if the information provided to the clerk of birth occurrence does not contain sufficient information needed to complete the amended birth record pursuant to RSA 5-C:33, the clerk shall request the information from the adoptive parents. If a response has not been received within 30 days from the date of the request, the amended record shall be prepared and "not available" shall be entered for information that has not been provided. When a clerk of a town or city receives an adoption notice from a New Hampshire court that contains inaccurate or missing information, the adoption notice shall be returned to the New Hampshire court with a letter asking the court to resolve the question involved. VI. In the case of a private adoption, when requested by a court of competent jurisdiction, the division shall issue a copy of the original birth certificate.