(a) The adoptee shall take the name designated by the petitioner. After adoption, the adoptee shall be treated as the natural child of the adopting parent or parents and shall have all rights and be subject to all of the duties arising from that relation, including the right of inheritance.
(b) Upon the final decree of adoption, the natural parents of the adoptee, except for a natural parent who is the spouse of the adopting parent are relieved of all parental responsibility for the adoptee and will have no parental rights over the adoptee.