If 1 was given to Karl Offermann I'd think a possible reference in his Personalakte is worth looking into. Being an NSKK-Obergruppenf�hrer since September 5, 1938, and a Reichstag member from '36 to the end of the war, I'd think he'd have a rather large (detailed) file. His family is probably all gone for any personal knowledge confirmation/details from the period since he died in July 1956 at age 71, but he was living in Freiburg when he passed away if someone has the diplomacy to investigate.
