Section 461. Duty to support child after separation agreement, separation, or termination of marriage

(a) A  separation  agreement,  a  decree  of
  separation,  and  a  final  decree  or  judgment  terminating a marriage
  relationship does not eliminate or  diminish  either  parent's  duty  to
  support  a  child of the marriage under section four hundred thirteen of
  this article. In the absence of an order of  the  supreme  court  or  of
  another  court of competent jurisdiction requiring support of the child,
  the family court may entertain a petition and  make  an  order  for  its
  support.
    (b)  If an order of the supreme court or of another court of competent
  jurisdiction requires support of the child, the family court may
    (i) entertain an application to enforce the order  requiring  support;
  or
    (ii)  entertain an application to modify such order on the ground that
  changed circumstances requires such modification,
  unless the order of the supreme court provides that  the  supreme  court
  retains exclusive jurisdiction to enforce or modify the order.
    (c)  In  an action for divorce, separation or annulment in the supreme
  court, the supreme court on its own motion or on motion of  one  of  the
  parties  may  refer an application for temporary or permanent support or
  both of a child of the marriage to the  family  court.  If  the  supreme
  court   so   refers   the  application,  the  family  court  shall  have
  jurisdiction to determine the application with the same powers possessed
  by  the  supreme  court  and  the  family  court's  disposition  of  the
  application  shall be an order of the family court appealable only under
  article eleven of this act.