I worked out most of this by watching John Oates play an acoustic version. It may not be
precise to the studio recording, but it's darn close.
Here are the shapes John uses:
EADGBE
A: x02220
E: 476454
D: 557775
D6: 557777
Bm: 799777 (sometimes he plays 797779)
Bm7: x24232
C#m7: x46454
F#m: 244222
... Though, for most of those chords, the standard shapes sound fine, too. Also, the D6 can be substituted with a standard D and still sound good. (Personally, I like substituting a Dmaj7, played like this: xx0222.)
Intro:
AEDBCDm7AEDBm
Opening night, nothing new Atlanta
AE
Into the spotlight, one more time
DBm
Just in time to play
AE
To one man at an empty table
DC#m7Bm7
He was drinking down the pain
Bm7C#m7D6
All he could say was his lady's name
AEDBm
Oh Camellia, won't you take me away
AEDBm
Oh Camellia, won't you take me away
AEDBm
After the show, when the room was empty
No, he wouldn't go
So I asked him why he called her name
It seems she was some magic one night
DC#m7Bm7
With something for his pain
Bm7C#m7D6
But all she left was her pretty name...
AED
Oh Camellia, won't you take me away
BmC#m7
To paradise tropical moon
F#mBm7D
Don't you leave me sitting here in Atlanta
Repeat chorus until the end!