I still feel confused about the early Sasieni one dots. I just recently purchased an oldie on the Bay.
I would say you did well. In the 5th picture, you can see why the Sterling band was applied. I think you will find the Patent below the London Made. The town names began with the Four Dots in 1924, the shape numbers, when seen, do not correspond to the later numbers seen, but the shape of the pipe you bought looks like The Marlborough, or possibly The Westminster. One Dots were made from 1919-23-4. Image from a 1930's catalog,