I found a Slingerland Duco "Radio King" Snare Drum on Ebay.
The seller claims it is from the 1930's albeit that it has been re-painted and a 3 ply shell.
I looked up the catalog pages from this web site and the closest I can see is a re-painted 1936 "Bernie Mattison" or "Gene Krupa" Model that has had the covering taken off or a 1936 "Band Master" duco with metal hoops.
Any ideas?
cheers.