They migrated to the Colony of Queensland (Australia), arriving in July 1864 aboard the Lady Bowen.
From 1878, as a draughtsman to Colonel Peter H. Scratchley, Commissioner of Defences for the Australian colonies, Wilson prepared drawings for the Lytton Battery, of which Stanley was architect.
Wilson won a competition for the design of the western façade of St Stephens Cathedral, Sydney and then travelled to Britain where he was admitted as an associate of the Royal Institute of British Architects.
Wilson was successful in several competitions for ecclesiastical commissions, including the Wesleyan Church in West End (1884-85) and a belfry for St Stephen's Cathedral (1887).
In the 1920s, Alexander Wilson was in partnership with his architect son Ronald Martin Wilson, who would later be in partnership with his architect son Blair,[3] who would in turn partner with his son Hamilton, an architectural practice spanning 130 years (as of 2014, known as Wilson Architects).