I like a few more chords than the sheet music shows. Try it this way:
|C C C7 F C A7 D7 G7 C C C7 F C G7 C C |
|C E7 F C C A7 D7 G7 C C C7 F C G7 C C |
I must admit that I do the opposite of the DT, usually crediting the song to Peewee, neglecting to mention Redd's contribution, but I will correct this in the future.