At 23:30, the announcer for the Riverwalk radio broadcast for this week talks about Red Nichols first recording session under the Five Pennies name,
"He chose one of his own compositions for the debut, a number that would soon be recorded by Red's hero, Bix Beiderbecke."
And then he announces "That's No Bargain," indeed one of Red's compositions. But the rest is not quite right. Bix never recorded "That's No Bargain."
It turns out that in the first recording session of the Five Pennies (Dec 8, 1926), Hoagy Carmicahel's "Washboard Blues" was also recorded. This tune was indeed recorded by Bix a bit less than a year later (Nov 18, 1927) with Paul Whiteman. (It was Bix's first recording with Whiteman as well as the first Whiteman recording of a Bill Challis's arrangement.)