N.Y. Local Fin. Law § 167.00
An appeal from a judgment in an action against a municipality, school district or district corporation on a bond, note or interest bearing coupon, may be taken by any person bound as a privy by such judgment, within sixty days after the service of a copy of the judgment and written notice of the entry thereof by any party upon such person. The appeal may be taken in the name of the party by such person without an order of substitution, upon such person giving the security and serving the notice of appeal required of a party in a civil action, and upon his giving to the party in whose name the appeal is taken an undertaking executed by two sureties in the sum of five hundred dollars and approved as to form and as to the sufficiency of the sureties thereon by a justice of the supreme court. The appeal shall be conducted and determined in the same manner as if taken by the party.
N.Y. Local Fin. Law § 167.00