N.Y. High. Law § 247
Whenever any such bridge shall have been or shall be so out of repair as to render it unsafe for travelers to pass over the same, or whenever any such bridge shall have fallen down, or been swept away by a freshet or otherwise, if the town superintendent of the adjoining town or towns, after reasonable notice of such condition of the bridge, have neglected or refused, or shall neglect or refuse to repair or rebuild it, then whatever funds have been or shall be necessarily or reasonably laid out or expended in repairing such bridge or in rebuilding the same, by any person or corporation, shall be a charge on such adjoining town or towns, each being liable for its just proportion; and the person or corporation who has made such expenditure, or shall make such expenditures, may apply to the supreme court, at a special term, for an order requiring such towns severally to reimburse such expenditures, which application shall be made upon papers to be served upon the town superintendents of such towns at least eight days prior thereto; and the court may grant an order requiring each adjoining town or towns to pay its just proportion of the expenditure, specifying the same; and the town superintendent of each of such towns shall forthwith serve a copy of such order upon the supervisor of each of their towns, who shall present the same to the board of supervisors, at their next annual meeting. The board of supervisors shall raise the amount charged upon each town by the order, and cause the same to be collected and paid to such persons or corporation as incurred the expenditure. The order shall be appealable.
N.Y. High. Law § 247