On 14 December 1595, she was appointed by Queen Elizabeth I of England to the office of Keeper of Somerset House; a post which she held for life.

[4] Following her elevation to the rank of a peer's wife, Anne was appointed a Lady of the Privy Chamber to Queen Elizabeth I,[5] who was also her husband's first cousin and held the couple in high favour.

A painting by an unknown artist was done to commemorate a visit by the Queen to Anne and Carey at their manor, Hunsdon House in Hertfordshire in September 1571; Anne is believed to be depicted among the Queen's Ladies in the royal procession, as the foremost lady dressed in white.

Henry Carey and Anne Morgan's marriage resulted in the birth of thirteen children, two of whom died in infancy.

Queen Elizabeth paid for his funeral expenses, and gave Anne a gift of £400, as well as an annual pension of £200 from the Exchequer.