Anne Elizabeth Stanhope, Countess of Chesterfield (née Weld-Forester; 7 September 1802 – 27 July 1885) was a British peeress and political confidante.

Stanhope was born in 1802, the eldest daughter of Cecil Weld-Forester, MP, later the 1st Baron Forester, and Lady Katherine Manners, the daughter of Charles Manners, 4th Duke of Rutland.

They had one son and a daughter, Lady Evelyn Stanhope (1834–1875), later the first wife of Henry Herbert, 4th Earl of Carnarvon.

Like her sister Selina, Countess of Bradford, Anne was an intimate friend of Benjamin Disraeli.

After they had both been widowed Disraeli is said to have proposed to her, but she declined, saying that people over seventy would be foolish to marry.