N.H. Rev. Stat. Ann. § 290:2-a

No dead body of a human being shall be removed from a hospital, a nursing home, a private home served by a home health care provider licensed under RSA 151, or a hospice without a pronouncement of death certified by hand or other approved electronic process by a physician or a registered nurse in accordance with RSA 290:1-b, including the time and date of death. Whenever a contagious disease is involved, the death record shall so state before the body shall be released from the facility.