Alexander Popham (c. 1670 – 16 June 1705), of Littlecote House, Littlecote, Wiltshire, and St. James's Square, London, was an English politician.
He was the only son of Sir Francis Popham of Littlecote Park.
Popham was a Member (MP) of the Parliament of England for Chippenham in 1690–1698 and for Bath from 1698 until his death on 16 June 1705.
Their daughter, Elizabeth (died 20 March 1761), married firstly Edward Montagu, Viscount Hinchingbrooke, and secondly Francis Seymour, of Sherborne, Dorset.
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