I was going through some old notes this morning and discovered something that I'd noticed about Chuck Berry's "Sweet Little Sixteen" over six years ago that also holds true for the live version that the Beatles performed on the BBC. The list of places (Boston, Philadelphia, Texas, the 'Frisco Bay, St. Louis, and New Orleans) is an example of a rhetorical device called cataloguing. In its use here, it gives a sense of geographic breadth.
I also noticed a discrepancy between the Beatles' version and Berry's original: the Beatles have "Philadelphia, PA" instead of Berry's "Pittsburgh, PA."