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Frances Douglas-Hamilton (died 30 December 1772) was the daughter of George Hamilton, 1st Earl of Orkney and his wife, Elizabeth Villiers.
Some time afterward the family moved to London, where the sisters became acquainted with a number of literary women: Elizabeth Inchbald, Anna Laetitia Barbauld, Hannah More, Elizabeth Hamilton, Elizabeth Benger and Mrs Champion de Crespigny.