N.Y. Gen. Mun. Law § 141
Whenever any grant, gift, devise or bequest shall have been made, under the provisions of this article, such trustees shall thereupon become and be a body politic and corporate with the name which shall have been specified by the donor in making the donation, and with the number of trustees, within the foregoing limits, named by the donor; and such corporation shall have full power to take and hold all property which shall have been and also which shall thereafter be granted, given, devised or bequeathed to it as aforesaid for said uses and purposes, and shall possess the powers and be subject to the provisions and restrictions contained in general corporation law. If no name shall have been specified by the donor as aforesaid, the name of the corporation shall be such as the said trustees shall adopt, certify and file in the county clerk's office of the county in which the interested city, village or town is located.
N.Y. Gen. Mun. Law § 141