I’ve been researching my family tree for some time now, and have managed to get many generations back, but always end up fixating on my paternal grandfather Alexander Lochrie.
I am assuming that you have got all the birth, marriage and death certificates from Scotland's People, and that what you want to know is about your grandfather's life?
What was his occupation on his marriage certificate, and on his death certificate and the birth certificates of his children (remember not to name the children here as they could still be living and RootsChat does not allow discussion of people who are or may be still living)?
How sure are you about the date of his death? I see that there is a grave mentioning an Alexander Watson Lochrie who died in 1949, not 1941, aged 38:
https://www.findagrave.com/memorial/134514938/alexander-watson-lochrie. There is a death certificate of Alexander Lochrie, registered in Mauchline in 1949. Is he the Alexander W Lochrie whose birth was registered in Glasgow Camlachie in 1911?
James Lochrie, mother's maiden surname Watson, died in Muirkirk in 1975 aged 68. David Lochrie, mother's maiden surname Watson, died in Muirkirk in 1992.
James Lochrie, aged 26, was injured in an accident in Kames Colliery, Muirkirk, in 1934. So it looks as if at least one of Alexander's brothers was a miner. However I can't see anything about Alexander Lochrie in the British Newspaper Archive on FindMyPast.
There could be school records, which would probably be in the care of Ayrshire Archives
http://www.ayrshirearchives.org.uk/ - though I see that they are closed until 2021 so you will have to be patient.
If Alexander was also a miner, there might be employment records in an archive somewhere.