We know that they supplied at least one BSA shotgun, and very probably others.
As the proprietary machine made BSA shotgun was distinctive in appearance it is unlikely that they would have asked BSA to brand them as Fletcher guns as it would have been obvious who had really made them.
There were plenty of others in the Birmingham trade who could supply more conventional boxlock and sidelock guns branded as requested.
If you have a Fletcher gun, photos of the flats and under barrel markings might help identify the real maker.
