He was educated at Eton College and gained the rank of Major in the Royal Artillery (Territorial Army).
[citation needed] He was a younger son of Sir Aubrey Brocklebank, 3rd Baronet and succeeded his unmarried brother Sir Thomas Aubrey Lawies Brocklebank, 4th Baronet, also a first-class cricketer for Cambridge University, to the baronetcy in 1953.
He was in turn succeeded by his own son Sir Aubrey Thomas Brocklebank, the 6th and present Baronet.
He appeared in 21 first-class matches as a righthanded batsman who bowled right arm leg break or medium pace.
[2] Brocklebank was chosen in the England team to play three Tests in India in 1939–40, but the tour was cancelled due to the outbreak of World War II.