If you want to see Dalhart's complete discography take a look at Tony Russell's Country Music Records 1921 - 1942. Dahart's listing takes up FIFTY pages. Tony worked on this amazing/essential book for years and I believe he left Dalhart to the very end of his research work as it was was going to be a real chore.
Personally I wouldn't have wanted to include his work. Does anybody really listen to his attempts when there is so much of the real thing out there?