The words in the 1939 book are the same as Masato's above.

Re "Your tune is certainly different from the one I know."

Yes, it's different from the one I know, too. I like both tunes. Dorsey's is sweeter, somehow.

I'm sure that book I have gives the melody as written by Dorsey. The pages of this book look very old-fashioned. I think that the Hal Leonard outfit simply used old sheet music and didn't go the expense of any new typesetting (or whatever they do nowadays instead of typesetting.)

Another unexpected bonus of getting this book is that now I know where the line "I got shoes, you got shoes. All of God's children got shoes" comes from.