Which of the following is true regarding illegitimate children?

A) Under the common law illegitimate children have no right to inherit.
B) An illegitimate child is not a legal child of the father unless paternity is established through a legal proceeding.
C) There are different laws governing illegitimate children in different states.
D) All of these choices are correct.

All of these statements are correct. Under common law, illegitimate children had no inheritance rights. An illegitimate child is not legally recognized as a child of the father unless paternity is established through legal proceedings. Additionally, laws regarding illegitimate children vary by state, reflecting the diversity of legal approaches to family law across the United States.