Murray was the eldest son of Edward and Francis Bourchier, owners of the Woodland Park property near Strathmerton, Victoria. He was educated privately in Melbourne and afterwards worked at Woodland Park.
Bourchier commanded a CMFlight horse troop at Numurkah, Victoria from 1909 to 1914. At the outbreak of World War I he was commissioned into the 4th Light Horse Regiment and left with the first contingent of the First Australian Imperial Force. He served with the regiment in the Gallipoli, Egyptian, Sinai, Palestine and Syrian campaigns. While on Gallipoli he was appointed temporary captain on 1 July 1915 and adjutant of the 4th Light Horse Regiment on 7 September. He became the acting commander of "A" Squadron on 19 October 1915 and gained his substantive captaincy on 22 November. He was promoted to major on 20 January 1916. The recommendation for promotion noted that "he was always quite cool and collected, and this had a very good effect upon his men". He assumed full command of "A" Squadron on 1 February 1916. Bourchier was promoted to lieutenant colonel on 15 March 1917 and took command of the 4th Light Horse Regiment. On 31 October 1917 he led the 4th and 12th Regiments in the four-mile charge against Turkish positions at the Battle of Beersheba, capturing 15 of the 17 wells intact and taking over 700 prisoners. In a later report he summed up the effect of the attack: He received the Distinguished Service Order on 4 November 1917: In September 1918 Bourchier again commanded a joint force of the 4th and 12th Regiments in the final advance on Damascus, capturing 12,000 Turks. He was awarded the Companion of the Order of St Michael and St George on 3 June 1919 for the following recommendation: He took temporary command of 4th Light Horse Brigade in November–December 1918 while BrigadierWilliam Grant was in temporary command of the ANZAC Mounted Division. During the war he was mentioned in dispatches three times. The regiment returned to Australia in June 1919.
Of Irish Protestant descent, the Bourchier surname is of Anglo-Norman origin. He was also a Freemason. He married Minona Francis Madden, daughter of politician Sir Frank Madden, on 16 June 1921. They had a daughter and two sons.
Legacy
Bourchier Street in Shepparton, Victoria, is named after Lieutenant Colonel Bourchier. Bourchier Street Primary School also recognises the contribution he made with a memorial plaque in its front office. In the 1987 film The Lighthorsemen and a 1993 episode of The Young Indiana Jones Chronicles, both depicting the Battle of Beersheba, Bourchier was portrayed by Tony Bonner.