I thought Kweskins got the song from Swanson, McCarron & Morgan called Blues (My Naughty Sweetie Gives to Me)

Verse:
What is that song about kisses
What is that song about smiles?
If I could have my way, I'd sing a song today
that would beat them all by miles
I wouldn't sing about smiling
That's not the title to choose
I would sing about what I've got
And what I've got's the weary blues

Chorus:
There are blues that you get from worry
There are blues that you get from pain
and There are blues when you're lonely for you one and only
the blues you can never explain
There are blues that you get from longing
But the bluest blues that be
Are the sort of blues that's on my mind
they're the very meanest kind
the blues my naughty sweetie gives to me.

There another verse and more words in the chorus in this original version if you want them. These words are similar to but not the same as what Kweskins sang. And, of course, this tin pan alley tune had a little more complicated chord progression than Kweskins version did. But it is definitely the source for his jug band version.