N.Y. Gen. Mun. Law § 142

§ 142. Eligibility of trustees. In case of the death of a trustee or\nof his resignation, removal from office, or inability to discharge the\nduties of his office, his place shall be deemed to be vacant, and may be\nfilled by the remaining trustees; and, in default of their so making an\nappointment within three months, the appointment to fill the vacancy\nshall be made by the supreme court, on the petition of any inhabitant of\nthe interested city, village or town, and after due notice to the other\ntrustees and to the mayor of the city, president of the village or\nsupervisor of the town. Said trustees shall be subject to removal by\nsaid court for malfeasance or misfeasance in office, upon such notice\nand after trial in such manner as said court shall direct.\n