After any court has acquired jurisdiction over the person of any child in an adoption proceeding, if such child dies before entry of final judgment, upon petition by the intended adoptive parent or parents suggesting the death of the child and asking that the court proceed in absence of the child to enter a final judgment, in the presence of the adoptive parent or parents who are parties to the record, the court shall proceed to hearing and final judgment to enable the child to have the intended name by adoption. Otherwise the court may dismiss the proceeding.
     In the case of an adoption proceeding commenced after the death of the person sought to be adopted, the intended adoptive parent or parents shall not, by reason of such adoption, acquire any interest in the estate of such deceased person, nor shall the intended adoptive parent or parents acquire any other right or incur any duty or obligation with respect to such deceased person.