Freddie Slack and Will Bradley Trio (1940), Down the Road A Piece.
If you like to boogie woogie, I know the place.
It's just an old piano and a knocked out bass.
The drummer man's a guy they call Eight Beat Mack.
And you remember Doc and old "Beat Me Daddy" Slack.
Man it's better than chicken fried in bacon grease
Come along with me, boys, it's just down the road a piece.
Ella Mae Morse (1945), The House of Blue Lights. Shows that 'square' and 'daddy-o' and 'dig' were already in use in the '40s. I had been laboring under the misapprehension that this patois first surfaced in Beat/Beatnik circles in the '50s.