N.H. Rev. Stat. Ann. § 5-C:99

An apostille record means a vital record document which contains the certification as provided for in the 1961 Hague Convention and which is recognized in the United States and other certifying countries as a certified document. An apostille record shall be prepared in the same manner as required for a certified copy and shall contain the following: the signature of the state registrar or the clerk of the town or city; the notarized acknowledgement of the state registrar or clerk and acknowledgement of the document by the New Hampshire secretary of state, including his or her signature and seal.