Lieutenant-Colonel Anthony John Muirhead MC & Bar TD (4 November 1890 – 29 October 1939) was a Conservative Party politician in the United Kingdom. He was elected at the 1929 general election as Member of Parliament (MP) for Wells in Somerset, and held the seat until his death in 1939, aged 48. In the National Government of Prime Minister Neville Chamberlain, he held junior ministerial office as Under-Secretary of State for Air from 1937 to 1938, and as Parliamentary Under-Secretary for India and Burma from 1938 to 1939.