British Automatic had a contract with Great Western Railways to erect and maintain automatic weight machines on its stations from 1928 to 1956.
The London Cigarette Card Company linked above doesn't list this set, but they only list sets they have in stock for sale. Their annual "Cigarette and Trade Card Catalog" is a great resource for British checklists. My copy is at home in Arizona and I'm in Alaska until next week.
If no one has come up with an answer by next Tuesday, message me and I'll check my copy of the catalog to see if its published there
I'm not a hoarder, it's a "collection"....
Joseph