His daughter, Elizabeth Hester Alington (1909–1990), married Sir Alexander or Alec Douglas-Home (1903–1995), 14th Earl of Home, Lord Home of the Hirsel, and sometime Prime Minister of the United Kingdom.
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Another notable descendant is the Very Reverend Cyril Argentine Alington (d. 1955), Chaplain to H.M. King George V, Dean of Durham, and sometime Headmaster of Eton College.
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He attended the King as Master of Ordnance at the siege of Boulogne-sur-Mer, noted on the inscription of a clock which he brought from that siege, and affixed over the offices at Horseheath Hall, in which was contained the alarm bell of the garrison of Boulogne.
By Audria, Gardiner had one child, Mary, who in 1504 married Sir Giles Alington, Knt.
His daughter Margaret (c1522–1598) married Sir Robert Alington, the son of Sir Giles Alington, of Horseheath, High Sheriff of Cambridgeshire.
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