OK, working back from the information that Sancti confirmed this morning:
- we have David's parents showng as Mr & Mrs A Jackson living at 9 High Mill Street in 1944
- we also have brothers William, Robert, John confirmed from the newspaper cutting.
I believe David's parents were an Alexander Jackson, a coachman by occupation, and a Jeanie Gould Purdie who married in 1905 in Cambusnethan, Lanarkshire.
From Post No.2 here, Sancti mentioned a David Jackson born in Carluke in 1911 - we believe this is likely to Davide's father's birth.
I have been able to verify son John born in 1909 in Carluke to Alexander and Jeanie. There are also possible entries for son William (Robert's I can't easily see in Carluke).
The key document at this stage has been the death certicate for mother Jeanie in 1950. Her death was reported by her son William. Her address is 9 HIGH MILL ROAD - which is the key piece we were looking for to link it all together

Father Alexander looks to have died in 1968 in Carluke at the age of 85.
There are some restrictions on viewing certificates on the official pay to view site for Births/Marriage/Deaths for Scotland
www.scotlandspeople.gov.uk There are cut off years after which you cannot view images of certificates on line:
Births - 1909
Marrriages - 1934
Deaths - 1959
Certificates after this date have to be ordered directly from SP or from the GROS (cheaper to do it through SP at £10 per certificate).
We do not know what became of David after the war years. I have had a look at deaths post 1944 for a David born 1911 +/-3 yrs, and there were 5 possibilities. I have looked at the two Davids that died pre 1959 and they are not connected. That leaves 3 possibilites but these can't be viewed on line and would have to be ordered (or someone may be able to do a look up at specific centres in Scotland). It may also be that David didn't die in Scotland. He may not have returned to Scotland after the war years.
But let be HAPPY that we are where we are at present!