We are on the right way ...

From wikipedia:
"... BSA bought Sunbeam in 1943 and produced Sunbeam bicycles using up existing frames and parts and using BSA components for the missing bits. The first BSA produced Sunbeam catalogue was published in 1949..."

"... all BSA hub gear production ceased in 1955"

I realy bellive its a post war, and maybe from 50's... now I will check if there is any sunbeam with BSA hubs before 1943.

I also find this image from 1950 about the bsa hublite and sunbeam:




Thanks.