N.H. Rev. Stat. § 658:6 : ELECTIONS — PRE-ELECTION PROCEDURE —Inspectors of Election — Appointment by Court

In case any appointment shall not be made as provided in RSA 658:2 or 658:5 or vacancies are not filled as provided in RSA 658:22, then, on application of 6 qualified voters of the town or ward, a justice of the municipal or district court shall appoint the inspectors.