The son of the Reverend E. W. S. Estcourt, of Swindon, Wiltshire, and a nephew of George Sotheron-Estcourt, 1st Baron Estcourt, Estcourt began his education at Mr C. E. F. Stanford's School, Rottingdean, from where in 1907 he won a Fishmongers' Company Open Scholarship of £50 a year to Gresham's School, Holt, where he remained from 1907 to 1912.
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