Kentucky Revised Statutes Title XXXIV. Descent, Wills, and Administration of Decedents' Estates § 391.105.Determination of rights of intestate succession in the case of a person born out of wedlock

(a) The natural parents participated in a marriage ceremony before or after the birth of the child, even though the attempted marriage is void; or

(b) In determining the right of the child or its descendants to inherit from or through the father:

1. There has been an adjudication of paternity before the death of the father; or

2. There has been an adjudication of paternity after the death of the father based upon clear and convincing proof;

(c) In determining the right of the father or his kindred to inherit from or through the child:

1. There has been an adjudication of paternity before the death of the child; or

2. There has been an adjudication of paternity after the death of the child based on clear and convincing proof and the evidence in such adjudication shall have demonstrated that the father openly treated the child as his, and the father did not follow a consistent policy of refusing to support the child on the ground of nonpaternity.