N.H. Rev. Stat. Ann. § 658:24

Any person, other than a moderator, clerk, selectman, inspector of election, or supervisor of the checklist, whose name appears on a ballot for an elective position, other than a position of an election official, shall be disqualified from performing duties as an election official in that election. A moderator, clerk, selectman, inspector of election, or supervisor of the checklist whose name appears on a ballot for an elective position, other than the position of an election official, shall be disqualified from the handling of marked ballots and the counting of votes pursuant to RSA 659:58.