N.M. Stat. § 32A-5-37
Status of adoptee and petitioner upon entry of decree of
adoption.
A. Once adopted, an adoptee shall take a name designated by the petitioner,
except in stepparent adoptions. In stepparent adoptions, the adoptee shall take the new
name designated by the petitioner in the petition so long as the petitioner's spouse and
the child, if over the age of fourteen years, consent to the new name. The name change
need not be requested in the petition.
B. After adoption, the adoptee and the petitioner shall sustain the legal relation of
parent and child as if the adoptee were the biological child of the petitioner and the
petitioner were the biological parent of the child. The adoptee shall have all rights and
be subject to all of the duties of that relation, including the right of inheritance from and
through the petitioner, and the petitioner shall have all rights and be subject to all duties
of that relation, including right of inheritance from and through the adoptee.