Is it possible they made everything but the rails and sourced those from Brunswick and slapped their nameplate on?
If they in fact never produced their own tables, but still sold new tables as a dealer would, Schaaf would have bought whole 'generic' tables (not just the rails) from someone like Brunswick or Passow and labeled them as their own.
But, in this case, the table far outdates the nameplate. This tells us that Schaaf simply worked on, and possible even flipped this table at some point in time (after 1929), but it would have been sold originally as a Brunswick.