Many thanks, JW, it's very helpful...
My father was with No 2 FTS at Digby until the end of August, and I imagine that he must have moved with it to Brize Norton until he was sent to fly Heyfords* in January '38 (149(B) Sqn).
I guess I am hoping that, as so often happens on Prune, someone will pop up saying "I've got the ATC log for August 1937 and....."
*
Not always with great success........here's a "late-on-the-roundout, Hoskins" that he was responsible for. (The log entry for that one is laconic; "P1 Self. Duty Air 2, 3, 4. Multi-engine, Day, 05).