The place of a selectman or other officer so disqualified shall be supplied by appointment, by the other members of the board, of a qualified person who has theretofore holden the same office in the town, or, in the case of committees, by a new appointment.
N.H. Rev. Stat. Ann. § 43:7
Appointment by Board to Fill Place of Disqualified Officer
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.