F/Sgt Albert John Thomson 1077841

Can anyone with access to the Scottish birth registers help?
I am looking for a date of birth for Albert John Thomson who perished on 12/11/1943 in Halifax HR985 of 35 squadron on the return from Cannes.
The CWGC does not give his age.
I have been told by a distant relative that he was born in Kilwinning in Ayrshire, with a sister who lived in Irvine. The usual BDM index does not cover Scotland.

I would imagine it would be around 1920, making him 23 when KIA.