N.Y. CPLR 1207
Upon motion of a guardian of the property or guardian ad litem of an infant or, if there is no such guardian, then of a parent having legal custody of an infant, or if there is no such parent, by another person having legal custody, or if the infant is married, by an adult spouse residing with the infant, or of the committee of the property of a person judicially declared to be incompetent, or of the conservator of the property of a conservatee, the court may order settlement of any action commenced by or on behalf of the infant, incompetent or conservatee. If no action has been commenced, a special proceeding may be commenced upon petition of such a representative for settlement of any claim by the infant, incompetent or conservatee in any court where an action for the amount of the proposed settlement could have been commenced. Unless otherwise provided by rule of the chief administrator of the courts, if no motion term is being held and there is no justice of the supreme court available in a county where the action or an action on the claim is triable, such a motion may be made, or special proceeding may be commenced, in a county court and the county judge shall act with the same power as a justice of the supreme court even though the amount of the settlement may exceed the jurisdictional limits of the county court. Notice of the motion or petition shall be given as directed by the court. An order on such a motion shall have the effect of a judgment. Such order, or the judgment in a special proceeding, shall be entered without costs and shall approve the fee for the infant's, incompetent's or conservatee's attorney, if any.
N.Y. CPLR 1207