Don't diss Ol' Blue Eyes--this is a jazz song, not a folk song;-)

Any way, you should be able to figure out some playable chords by trimming down what is posted above.

It will help if you mark them out, measure for measure-a lot of the "fancy chords" look to just provide a bit of ornamentation for the turnarounds, so if you figure out where the phrases begin and end, you can figure out what goes and stays.

I never worked this song up, either as a jazz or folk thing, but it sounds to me like, stripped down to the essentials, it is really just a simple blues vamp, with a bit of key change in a couple places--