N.H. Rev. Stat. Ann. § 290:3

It shall be the duty of the funeral director, next-of-kin as defined in RSA 290:16, IV, or designated agent under RSA 290:17 to add to the death record the date and place of burial, and having certified the same by hand or other approved electronic process, to forward it to the division of vital records administration or as otherwise directed by the registrar of vital records, and to obtain a permit for burial from the division of vital records administration in accordance with RSA 5-C:67. In case of a contagious or infectious disease the record shall be completed and transmitted immediately.