N.Y. High. Law § 209
Any person or corporation interested as owner or otherwise, in any lands and claiming any loss or damages, legal or equitable, by reason of the discontinuance, abandonment or closing of any street or highway, not within the limits of an incorporated village, under or pursuant to the provisions of the last two sections, may, upon ten days' written notice to the town superintendent of the town in which such lands are situated apply to the supreme court or to the county court of the county within which such lands are situated for the appointment of commissioners of appraisal to estimate and determine such loss and damage, whereupon the court shall appoint three disinterested commissioners of appraisal to estimate and determine such damage, and the amount of compensation to be paid by said town therefor, who shall make their report thereupon to such court, and which report when finally confirmed shall be final and conclusive in respect thereto, and the legality and equity of any and all such claims shall be determined by such commissioners of appraisal and by the court upon the hearing of their report. Any loss or damage so estimated and determined shall be paid by said town as in case of judgment.
N.Y. High. Law § 209