If any of the offices specified in RSA 510:10 is vacant, the service otherwise to be made upon the incumbent of such office may be made instead upon one of the principal inhabitants of the county, city, town or district.
N.H. Rev. Stat. Ann. § 510:11
Service on Inhabitant, When
Source
Official source: New Hampshire General Court. Reproduced from public-domain New Hampshire statutes; confirm against the official source for the current text. Not legal advice.