N.H. Rev. Stat. Ann. § 669:58

When all votes have been cast, the moderator shall, in the open meeting, sort and count the votes. The selectmen and town clerk shall assist in sorting and counting the votes; but no other person shall in any manner interfere therewith. After the counting, the moderator shall make a public declaration of the number of ballots cast, with the name of every person voted for and the number of votes for each; and the town clerk shall make a fair record thereof in the books of the town. No ballot shall be received and counted after the votes have been declared.