N.H. Rev. Stat. Ann. § 671:31

The clerk of every school district, after the annual meeting, shall forthwith report the names and post office addresses of all school district officers to the commissioner of revenue administration and to the commissioner of education. If any school district officer has not been chosen or appointed at that time, the school district clerk shall promptly make like reports when such officer is chosen or appointed so that the commissioner of revenue administration and the commissioner of education shall at all times be informed of the names and mailing addresses of all school district officers.