In 1946, Westoll married Sylvia Jane, the youngest daughter of Sir Fairfax Luxmoore (1876–1944), a Lord Justice of Appeal, and they had four children.
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Westoll was the son of Captain James Westoll, late Durham Light Infantry, by his marriage in 1917 to Marian Ellen, a daughter of Captain Arthur Lenox Napier OBE DL, of the Yorkshire Regiment, and the grandson of another James Westoll, a Justice of the Peace, of Coniscliffe in County Durham.
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