ยง  4138-b.  Birth  certificate: foreign country adoption. Whenever the
  adoption or finalization of a  foreign  adoption  or  recognition  of  a
  foreign  adoption of a child pursuant to section one hundred eleven-c of
  the domestic relations law has been reported to  the  commissioner,  the
  commissioner shall file a birth certificate for the child provided there
  is  no  other birth certificate or other birth record on file other than
  in the country where such child was born and provided, further,  that  a
  certificate  of  birth  data  does not exist for that person. Such birth
  certificate shall be filed upon receipt  of:  proof  that  the  adoptive
  parent  was  a resident of this state at the time of adoption; a copy of
  the adoption documents of the jurisdiction or country in which the child
  was adopted; a certified translation of the foreign adoption  documents,
  evidence  of  the  date  and place of the child's birth; and evidence of
  IR-3, IR-4 or IH-3 immigrant visa status or a successor  immigrant  visa
  status.  The birth certificate shall include the child's name, sex, date
  of birth, time of birth, place  of  birth,  mother's  maiden  name,  and
  father's  name. A birth certificate for a foreign country adoption which
  has been filed by a local registrar  and  all  supporting  documentation
  shall  be submitted by the local registrar to the commissioner who shall
  file a new birth certificate pursuant to this section.
Structure New York Laws
Title 3 - Registration of Births
4131 - Births; Registration; Foundlings.
4132 - Birth Certificate; Form and Content.
4133 - Birth Certificate; Incomplete; Duty of Registrar.
4134 - Birth Certificate; Unnamed Child.
4135 - Birth Certificate; Child Born Out of Wedlock.
4135-A - Birth Certificate; Child Born in Prison.
4135-B - Voluntary Acknowledgments of Parentage.
4136 - Birth Certificate; Statement as to Blood Test.
4137 - Births; Notice of Recording.
4138-A - Certificate of Birth Data.
4138-B - Birth Certificate: Foreign Country Adoption.
4138-C - Adoption Information Registry.
4138-D - Mutual Consent Voluntary Adoption Registry.
4138-E - Adoptee's Right to a Certified Copy of His or Her Birth Certificate.