Hardcastle was born at Firwood Hall, Tonge, near Bolton, Lancashire (demolished 1969), and was the fourth son of James Hardcastle of Firwood and Pen-y-lan, Ruabon, Denbighshire and Hannah Compton Jackson.
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One of her daughters, Priscilla Armytage-Moore, became Priscilla, Countess of Annesley (see Hugh Annesley, 5th Earl Annesley).
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