N.Y. Town Law § 310
Whenever any person shall have any strayed horses, cattle, sheep, swine or other beast upon his inclosed land, or shall find any such beast on land owned or occupied by him doing damage, and such beast shall not have come upon such lands from adjoining lands, where they are lawfully kept, by reason of his refusal or neglect to make or maintain a division fence required of him by law, such person may have a lien with priority over all other liens upon such beasts, for so long as such person shall retain possession of such beasts, for the damage sustained by reason of their so coming upon his lands and doing damage, for his reasonable charges for keeping them, and all fees and costs made thereon, and he may keep such beast until such damages, charges, fees and costs are paid, or such lien is foreclosed, upon complying with the provisions of this article relating thereto.
N.Y. Town Law § 310