N.Y. Village Law § 17-1703-A
3. In any case in which the proposition provided for in subdivision one of this section shall have resulted in favor of the local government operating principally as a village, the holders of village offices shall, from and after the effective date of the creation of the town or annexation of such territory, by virtue thereof also hold town offices, as follows:
4. In any case in which the proposition provided for in subdivision one of this section shall have resulted in favor of the local government operating principally as a town, then, at the regular village election next ensuing, all offices to be filled thereat shall be filled for terms to end at the conclusion of the then current calendar year. The term of office of each other elected village office shall also end at the conclusion of said then current calendar year, notwithstanding that any such term of office originally extended beyond such date. The offices of supervisor, four town councilmen and two town justices shall be filled by election as hereinafter provided at the November general election next following the effective date of the creation of such town or annexation of such territory; all other town offices shall be appointive. The election of the supervisor, councilmen and justices shall be for terms of office as follows: