A number of manufacturers in the 1930's, like other decades, offered frames with a selection of components from a range of suppliers. For example, my 1931 Selbach was offered with a choice of Selbach, Williams, BSA, or Chater Lea components at various price points. BSA and Chater Lea were typically more expensive. So, if you frame doesn't have BSA components, it doesn't necessarily mean that it is not a BSA frame. It could be that the original purchaser swapped components from another bike to this frame, or spent all their money on the frame and bought less expensive components.