Vt. Const. ch. II, § 47
The voters of each town shall, on the day of election for choosing Representatives to attend the General Assembly, bring in their votes for Governor, with the name fairly written, to the Constable, who shall seal them up, and write on them, Votes for Governor, and deliver them to the Representatives chosen to attend the General Assembly; and at the opening of the General Assembly, there shall be a committee appointed out of the Senate and House of Representatives, who, after being duly sworn to the faithful discharge of their trust, shall proceed to receive, sort, and count the votes for Governor, and declare the person who has the major part of the votes, to be Governor for the two years ensuing. The Lieutenant-Governor and the Treasurer shall be chosen in the manner above directed.
The votes for Governor, Lieutenant-Governor, and Treasurer, of the State, shall be sorted and counted, and the result declared, by a committee appointed by the Senate and House of Representatives.
If, at any time, there shall be no election, of Governor, Lieutenant-Governor, or Treasurer, of the State, the Senate and House of Representatives shall by a joint ballot, elect to fill the office, not filled as aforesaid, one of the three candidates for such office (if there be so many) for whom the greatest number of votes shall have been returned.