She only bore him two children: The elder was born in 1670, Charles Beauclerk, who was made Baron Heddington and Earl of Burford and, later, Duke of St. Albans. The younger, James, born a year later died when he was nine.
So all the descendants must come from the Duke of St. Albans

He died on 10 May 1726 at Bath and was buried at Westminster Abbey on 20 May. His brother James, styled Lord Beauclaire, had died at Paris in 1680, and the duke was succeeded by his eldest son, Charles.
Stan