Major James Allen David Woodhouse, 4th Baron Terrington (30 December 1915 – 6 May 1998), was a Baron in the Peerage of the United Kingdom and Deputy Chairman of Committees in the House of Lords. He was a member of the London Stock Exchange and a director of S J Carr and County (Gunmakers) Ltd. He served in the Royal Norfolk Regiment and Queen's Westminster Rifles and was wounded in World War II.
Woodhouse was the son of Horace Woodhouse, 3rd Baron Terrington, and Valerie Phillips, and was educated at Winchester College and then at Royal Military College, Sandhurst. He married Suzanne Irwin, daughter of Colonel Thomas Strutt Irwin, on 7 November 1942. They had three daughters.
On his death in 1998, having no male heirs, was succeeded by his brother, Montague Woodhouse, who became the 5th Baron. David is depicted in three glass-plate negative photographs held by the National Portrait Gallery, two of which show him as a child.