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The existence of Robert Hamilton of Allanshaw, here treated, has not been satisfactorily established. Certainly, no evidence of his existence has been found. According to John Anderson, he was the son of John Hamilton of Broomhill and a second wife named Margaret Dalziel. Robert Hamilton was, Anderson said: "the founder of a family of that name, which subsisted for some time at Allanshaw in the parish of Hamilton." Genealogical Memoirs of the House of Hamilton, p. 250 William K. Dickson, writing in his account of the family of Hamilton, Lord Belhaven, noticed Anderson's proposition. The Scots Peerage II: 38 The late Colonel George Hamilton also noticed Anderson's claim, although he could not find any evidence to support it. [A History of the House of Hamilton: 187]