Humphrey, Duke of Gloucester, brother of Henry V, "married" Jacqueline , Countess of Holland and Hainaut, who was fleeing from her proper husband; after lots of drama the marriage was annulled and Jacqueline and Humphrey separated. Humphrey then married Eleanor Cobham, by whom he had a daughter, Antigone. Even if she was born outside of wedlock, her parents' subsequent marriage legitimised her (by Catholic canon).
My question is...why was Antigone and her descendants side-stepped in the succession, and why were they ignored as superior Lancastrian heirs than Henry Tudor? Also, later on when the Tudors looked to more distant cousins for potentail heirs (ie, when Edward VI arranged marriages for the Grey and Clifford and Hastings right before he died) why were Antigone's descendants not considered?