Alexander McLean married Georgina Torrance at Pollokshields, Glasgow on 26 September 1907.
They had five children:
1. Alexander (Alex) McLean born 1908. Married Christina Nicolson Robertson.
2. James (Jimmy) McLean born 1910. Married (i) Annie Allan (ii) Annie Lochead Rankin.
3. William McLean born 1914. Died 1915.
4. Georgina (Ina) Torrance McLean born 1917. Married Patrick Redmond Coyle.
5. Jane Agnew (Jean) McLean born 1921. Married Robert Alfred Johns.