The engine and frame numbers should identify it?:
You can check them here:
http://www.bsaoc.demon.co.uk/intro.htmUnder the heading:
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".....yearly listing of all engine and frame numbers,
Years up to 1920All models up until 1920
1921 to 1930All models from 1921 until 1930
1931 to 1940All models from 1931 until 1940
1941 to 1950All models from 1941 until 1950
1951 to 1960All models from 1951 until 1960
Post 1960All models from 1960 until the factory closure in 1973."
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Any information about the type of magneto will probably be useful too?