Barrington was the eldest son of Sir Thomas Barrington of Barrington Hall, Hatfield Broadoak, Essex (died 1586) and as her second husband Winifred Pole (b. aft. 1521 or in 1525), youngest daughter of the 1st Baron Montagu.
Winifred Pole (b. aft. 1521 or in 1525), married firstly Sir Thomas Hastings (1515–1558, buried Stoke Poges, Buckinghamshire, the brother of her sister Catherine's husband), son of George Hastings, 1st Earl of Huntingdon, without issue, and secondly, Sir Thomas Barrington of Barrington Hall, Hatfield Broadoak, Essex (died 1586).
The army program took over Bowles Hall, a dormitory, and the naval program took over the International House, the Student Co-op Barrington Hall, and several fraternities for its trainees.
Meux was the son of Sir William Meux and his wife Winifred Barrington, daughter of Sir Francis Barrington, 1st Baronet of Barrington Hall, Essex.
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