N.Y. State Fin. Law § 153
On any such foreclosure, if any person having title to a part of the mortgaged premises, by conveyance from or through the mortgagor, delivers to the comptroller an affidavit stating that he has such title, and describing with certainty such part, the comptroller on the sale under such foreclosure shall cause to be first sold that part of the mortgaged premises not specified in the affidavit. If the part so sold does not produce enough to satisfy the amount so unpaid and costs and expenses he shall immediately cause such part or parts of the premises as have been conveyed by the mortgagor and described in any such affidavit, to be sold, and if more than one part of such premises has been so conveyed, and an affidavit made as herein required, the comptroller shall cause such parts to be sold in the inverse order of the dates of such conveyances, if it is necessary to sell them, commencing with the part last conveyed by the mortgagor, and such sale shall cease when the proceeds of the sale are sufficient to satisfy the amount so unpaid and such costs and expenses.
N.Y. State Fin. Law § 153