RSA 661:9 County Officers.

I. If a vacancy for a period of one year or longer occurs in the office of county sheriff, county attorney, register of deeds, or county treasurer, the members of the county convention shall fill the vacancy for the unexpired term by a majority of the ballots cast. If a vacancy for a period of less than a year occurs in any such office, the members of the county convention shall, by majority vote of the county convention, vote to either fill the vacancy or to leave the office vacant.
II. (a) If a vacancy occurs in the office of a county commissioner, the members of the county convention, or, if the vacancy occurs in Hillsborough county, the members of the county convention representing the cities and towns in the commissioner's district, shall fill the vacancy by a majority of