Section 111-B. Determination of issue of paternity by surrogate; limitations

1. In  the  course  of  an  adoption  proceeding  conducted
  pursuant  to  this  article  the  surrogate  shall  have jurisdiction to
  determine any issue of paternity arising  in  the  course  of  the  same
  proceeding and to make findings and issue an order thereon.
    2.  Such  determination shall be made substantially in accordance with
  the relevant and otherwise consistent provisions of the family court act
  except that the surrogate shall  have  no  power  to  grant  any  relief
  relating to support of the child as an incident thereto.
    3.  A  judge of the family court shall continue to exercise all of the
  powers relating to adoption and declaration of paternity conferred  upon
  the family court by law.