I. A child born of unwed parents shall inherit from or through his mother as if born in lawful wedlock. The estate of a person born of unwed parents dying intestate and leaving no issue, nor husband, nor wife shall descend to the mother, and, if the mother is dead, through the line of the mother as if the person so dying were born in lawful wedlock.
II. A child born of unwed parents shall inherit from or through his father as if born in lawful wedlock, under any of the following conditions:
(a) Intermarriage of the parents after the birth of the child.
(b) Acknowledgment of paternity or legitimation by the father.
(c) A court decree adjudges the decedent to be the father before his death.
(d) Paternity is established after the death of the father by clear and convincing evidence.
(e) The decedent had adopted the child.