Jeep, I know you posted this last year, but I have a different and maybe easier set of chords for this song, but one that retains the jazz flavor. If you would like me to post them, email me at VintageMartin@aol.com and I will send them to you.
The chords I use are C, a diminished chord whose name I don't know but that is easy to play, F, G, A7, Dm7, Fmaj6, G7, D7, and (at the end) Cmaj7. I can send or post a lyric sheet with chord inserted if you or anyone wants them.
It's nice to see the ones posted above, too.