There is, surprisingly, no article about her in thepeerage. But her husband, Sir Samuel Fludyer's, article in Wikipedia has this about her, "...Caroline Brudenell (d. 1803), niece of the 3rd Earl of Cardigan, whom he married on 2 September 1758. They had two sons:
Samuel Brudenell Fludyer (1759–1833), who succeeded to the baronetcy, and was MP for Aldborough
George Fludyer (1761–1837), MP for Chippenham and Appleby..."