D.C. Code § 19-316

Children born out of wedlock and the heirs of children born out of wedlock are capable of taking real and personal estate by inheritance from their mother or from their father if parenthood has been established, or from each other, or from heirs of each other, as the case may be, in like manner as if born in lawful wedlock, and the mother and such father, and their respective heirs, are capable of inheriting from such children.