What happened to the bastard son of Henry VIII and Bessie Blount?

Henry Carey, the son of Mary Boleyn (sister of Queen Anne Boleyn) parentage is debatable. He was fathered by either King Henry 8th or Mary Boleyn's husband Sir William Carey.

Henry Carey became the 1st Baron of Hunsdon and lived for about 70 years. married and had 11 children with his wife, Anne.