I'm not a Healey expert, but I'd have thought they were UN threads (basically, American standards).
BSF (British Standard Fine) and BSW(British Standnard Whitworth) were standards in the UK up to WWII, but during and after the war were phased out in favour of the Unified Threads, coarse and fine.
BSF was used in fine thread situations, BSW in coarse. So studs in aluminium, for example, would be BSW. They share the same hexagon sizes, though usually one size different. A 1/4" BSW has the same dimension as a 5/16" BSF. Dimensions are always quoted in stem diameter, not hexagon sizes.
One set of spanners will do for both BSF and BSW (they should be spanners, being British, though I hear wrenches work too!) and are often marked with both sizes.