Looks like a Lucas HF1440 from the drawing maybe, but it's not that clear.
Lucas parts lists say HF1234 or 1235 for all A7s and 10s from the beginning (and for most other BSAs supplied with a horn as far as I can see from a quick look), but the lists sometimes seem to omit exceptions or export specs - or maybe parts bins needed using up.
(Lucas Workshop Instructions Vol 2 Section L7 parts A and B Issue 1 from June 1953 has the info on both series)