N.Y. Indian Law § 113

§ 113. Vacancies. If a vacancy shall occur for any reason in the\noffice of chief or headman, subchief or clerk of such tribe, the chiefs\nor headmen shall appoint a person to fill such vacancy, who shall hold\noffice until the next succeeding annual election, at which a person\nshall be elected to such office to hold office until the expiration of\nthe term for which his predecessor was elected.\n