New York Consolidated Laws, Indian Law - IND § 113. Vacancies

If a vacancy shall occur for any reason in the office of chief or headman, subchief or clerk of such tribe, the chiefs or headmen shall appoint a person to fill such vacancy, who shall hold office until the next succeeding annual election, at which a person shall be elected to such office to hold office until the expiration of the term for which his predecessor was elected.