The Yale Center for British Art calls this "Lady Anne Cavendish (daughter of Elihu Yale ?).” The name is not co-incidental. Elihu Yale donated a large sum to support what became a leading American university (I’ll forget that George H. W. and George W. Bush, not the sharpest knives in the drawer, went there). However, thepeerage states, “...Anne Yale was the daughter of Elihu Yale. She married Lord James Cavendish, son of William Cavendish, 1st Duke of Devonshire and Lady Mary Butler. She died on 27 June 1734.
Her married name became Cavendish…”
She should not be confused with Anne Cavendish who married Robert Rich in these albums.
From Google Art Project via Wikimedia; size fixed 80 cm high at 28.35 pixels/cm.