Green was born in
Brisbane,
Queensland, the son of Charles Green, ironfounder, and his wife Eliza (née Vaughan). After his father became a partner in a Mackay foundry in 1881, he was educated at Mackay State School and completed his schooling at the Way Methodist College in
Adelaide. He was apprenticed in 1896 to
Townsville pharmacist, Cromwell Ridgley before attending the Queensland College of Pharmacy in Brisbane in 1901. He then returned to Townsville and bought Ridgley's business and by 1914 owned four chemists. By 1920 W. H. Green Ltd owned eight chemists across Northern Queensland and eventually the company controlled sixteen pharmacies but the Pharmacy Act of 1933 requiring professional managers forced the company to disband. Later in life Green was chairman of the Equitable Probate and General Insurance Co. Ltd and the
Indooroopilly Toll Bridge Co. He was also a director of the Atlas Insurance Company and Busby's Ltd. During
World War I Green served for three and a half months on
Thursday Island as sergeant-compounder with the
Kennedy Regiment of the
Citizen Forces. and three years later he married Clara's sister, Frances Gertude Cockerill (died 1939) ==Public career==