I've had a look at Diana Krall on YouTube singing the Look Of Love and I hear those chords as Eb6 chord to D7sus (at least I think I do!). I think that the notes that are causing you a problem are actually passing notes (non-harmonic tones) in the melody (C, Bb, A, G against the above chords). I'm quite happy to be corrected on this.

Given the context of your above chord progression, I interpret the A natural as #11 of Eb. This means that if she is playing and Eb6 chord, the sound would be more likely to be Eb13#11.


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