RSA 659:12 Who Can Vote.

I. All persons whose names are entered upon the corrected checklist brought by the town or ward clerk to the polling place shall be entitled to vote.
II. No person whose name is not upon the checklist shall be allowed to vote, unless, in the opinion of the supervisors of the checklist, it clearly appears that the name of a qualified voter has been omitted from the checklist by clerical error or mistake or the person registers to vote at the polling place.
III. At the time set for closing the polls to voting, if a line of voters waiting to check in or of people seeking to register to vote and then vote exists, all people who join that line by the moment when the polls close to voting and all who are in line shall be permitted to apply for registration and, if registered,