Whilst snooping around in the newspapers looking for clues I spotted this family announcement for the 21st birthday of Alistair with the 319 Shenley Fields Road address (Birmingham Mail 30 January 1942).
I checked FreeBMD for anyone called Alistair born 1st Q of 1921 and found an Alistair Wilkinson with mmn LEE, born 1st Q 1921 Burnley 8e 299.
There is a marriage of Nora Lee to Fred Wilkinson which I assume to be Alistair's parents.
Marriages Jun 1919 Burnley 8e 608.
I haven't checked what happened to Fred Wilkinson but there is a later marriage of Nora Wilkinson to William C Dunbar, Marriages Sep 1937 Birmingham 6d 1075.
Nora and William Dunbar are at 319 Shenley Fields Road in the 1939 Register.