Interestingly is the time line. By the time Henry Carey was born, Henry VIII was already tired of Mary Boleyn, and entered into a relationship with Mary's sister Anne. By declaring Henry his "natural son" would not help matters in his divorce of Katherine of Aragon and complicated whatever chances he have with legitimising his future relationship with Anne Boleyn. So Henry Carey was a victim of circumstance. With the birth of Richmond, Henry VIII did not need another "natural son" to prove he is capable of having sons. Catherine & Henry Carey were the extra proof Henry pscholgocially needed to discard Katherine of Aragon, since she could no longer breed any more children. The fact that Mary (who was fertile) added attractions for Anne, her sister.