Sir Alexander Hargreaves Brown, 1st Baronet (11 April 1844 – 12 March 1922) was an English Liberal Party, and later Liberal Unionist, politician who sat in the House of Commons from 1868 to 1906.
Brown was the third son of Alexander Brown, eldest son of Sir William Brown, 1st Baronet of Beilby Grange, Yorkshire and his wife Sarah Brown of New York. He served in the 5th Dragoon Guards from 1864 to 1866. He was Honorary Colonel of the Lancashire and Cheshire Royal Garrison Artillery and was J. P. for Lancashire and Surrey.
At the 1868 general election, Brown was elected unopposed as one of the two Members of Parliament (MPs) for the borough of Wenlock in Shropshire. He held the seat until it was abolished under the Redistribution of Seats Act 1885.
Brown was returned to the Commons at the 1885 general election as MP for the new Wellington division of Shropshire. He became a Liberal Unionist in 1886, and held the seat until he stood down at the 1906 general election.
Brown was created Baronet Brown of Broome Hall in Capel in the County of Surrey on 5 January 1903. He lived at Broome Hall Holmwood, Surrey and died at the age of 78.
Brown married Henrietta Agnes Terrell Blandy, fifth daughter of Charles Blandy of Madeira in 1876. Their eldest son Captain Gordon Hargreaves Brown was killed in action in the First World War. In 1910 Gordon Hargreaves Brown had married Edith Ivy Piggott, eldest daughter and co-heir of Admiral William Harvey Pigott. She assumed in 1925 the additional surname of Pigott for herself and her issue. Their son, the second Baronet, was killed in action in the Second World War.