Are you sure that John Lambie Brodie was born in Scotland? I looked for his birth on scotlands people and did not find him.Wheredid you get his birth date from ?
There is a birth record for a John L. Brodie in Warwickshire, England - registration is Jan/Feb/March quarter which means he was born in the months before that.
England & Wales, Birth Index: 1916-2005 about John L Brodie Name: John L Brodie Mother's Maiden Surname: Drader Date of Registration: Jan Feb Mar 1943 Registration district: Sutton Coldf'd Registration county: Warwickshire Volume Number: 6d
Notice this shows his mother's maiden name as Drader. I found one other birth for a child with mother maiden name Drader.
England & Wales, Birth Index: 1916-2005 about Penelope D Brodie Name: Penelope D Brodie Mother's Maiden Surname: Drader Date of Registration: Apr May Jun 1945 Registration district: Birmingham Registration county: Warwickshire Volume Number: 6d
I then looked for a marriage between a Brodie man and Drader woman in Warwickshire, but did not find one, so if they were originally from Scotland, maybe that is where they married. I did check that too on Scotlands people and did not find a marriage for a couple with those surnames though.
Are you sure of the spelling of his name John LAMBIE BRODIE ?
If you have anything else to help find him please post it and I will see if I can find anything.