Wolfgang,
   Woody was a big Carter Family fan; look how many of their tunes he used for his own lyrics! Not too surprising that he would have sung, more or less, the Carter Family version. (In John Greenway's American Folk Songs of Protest, there is an anecdote that when Woody had his radio show in CA with Lefty Lou, he got a 'grubby postcard saying "You're doing fine" from the Carter Family'-- wonder what Greenway's source for this story was. . . Woody was not always reliable when talking about himself)
The "Stormking Music" copyright interests me. . . Storm King Mountain is near Beacon NY, home of Pete Seeger.