The suburb is bounded by University Road to the north.[3]
The southern parts of the suburb are on the slopes of Mount Stuart and are undeveloped. The northern part of the suburb is occupied by the Lavarack Barracks.[3]
On 21 July 1939, with the Second World War looming, Murray volunteered for military service and was appointed as commanding officer of the 26th (Militia) Battalion, 11th Brigade, based in Townsville; he was mobilised for full-time service on 21 October 1941.[5] The 26th became an Australian Imperial Force unit in 1942, and in August Murray was removed from his post by General Sir Thomas Blamey, Commander in Chief Australian Military Forces, on the grounds of his advancing age. He was instead appointed to command the 23rd Queensland Regiment, Volunteer Defence Corps, which he led until his retirement from active duty on 8 February 1944.[6][7]
The suburb was named after Murray on 1 April 1969.[2]