Is a parent's right to inherit from a child born out of wedlock?

To avoid such a dubious outcome in the future, I believe our laws of intestate succession should allow a parent to inherit from a child born out of wedlock only if the parent has some sort of parental connection to that child. For example, requiring a parent to treat a child born out of wedlock as the parent's own before the parent may inherit from that child would prevent today's outcome. (See, e.g., Bullock v. Thomas (Miss.1995) 659 So.2d 574, 577 [a father must "openly treat" a child born out of wedlock "as his own" in order to inherit from that child].) More importantly, such a requirement would comport with the stated purpose behind our laws of succession because that child likely would have wanted to give a share of his estate to a parent that treated him as the parent's own.