(a) Upon the entry of a final decree of adoption the former parent, guardian or putative father of the child shall have no right to the control or custody of the child. The adopting persons shall have all of the rights and obligations respecting the child as if they were natural parents.
(b) Adopted persons may assume the surname of the adoptive parent. They are entitled to the same rights of person and property as children and heirs at law of the persons who adopted them.