I don't know how I would determine which was "most common", although if you knew the most common engine model used, I might narrow it down from that.
As far as more information, there isn't a lot. Having the drawings (blueprints) would provide a ton of information, but those are scarce to non-existent from my experience.
WWI British Propellers. Using official factory photos, colour plates and drawings Peter Cooksley and Bruce Robertson show how WWI British airscrews were produced. 9 colour plates, 8 colour logos, 20 photos, 7 drawings and full list of airscrews. £11.50
MODEL DINOSAUR by RLR (signed) Hints and tips galore: kits/conversions/resins/ dioramas/painting – many great colour photos! £12.00
Hopefully that may shed a bit of light.
I also came across an image of what I think you have listed as a T28906.
With British propellers, there will almost always be a drawing number stamped on the hub, and the Windsock book you've ordered lists most of them and the aircraft they were used on. A lot of the French props have series numbers that can be referenced as well.
US props and German props can be hard to identify.
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