(a) The deceased father of a child born out-of-wedlock, by having publicly acknowledged the child as his own, or having received the child into his family and otherwise having treated it as if it were a legitimate child, thereby provides evidence of paternity.
(b) If the mother is dead at the time of a paternity establishment proceeding, her declaration made in the time of travail and persevered in as her dying declaration, to the extent relevant, shall be evidence of paternity.