Born in Ballintra, Ireland, to farmer Thomas Morrow and Elizabeth Hill, he was educated at the Civil Service Training College in Belfast and worked in the Royal Irish Constabulary from 1907 to December 1912 before coming to Australia in January 1913.
From 1913 to 1916 he was an attendant at Parramatta Mental Hospital. He then worked for Clyde Engineering Company and then as a labourer at the Darling Harbour railway yards from 1918 to 1920. From 1920 to 1922 he was a watchman.
In 1922 Morrow was elected as a Nationalist to the New South Wales Legislative Assembly, representing Parramatta.
He was defeated in 1925. After his defeat he became a lime and cement merchant until 1929, ultimately becoming a contractor and health inspector.
He served as a Nationalist Party councillor from 1930 until 1931. Morrow died in Sydney in 1971.
