Now I realise the fact that the recording is piano only, so this is my 
personal interpretation which I find works well when performing it. It
sounds pretty close for the most part... But in the "My love goes free" 
part, I play C/Am7 which I think he just stays on Am7 after the first 
switch and ends on C, but it sounds good when performing so I hope you 
enjoy.

Oh and if you have a correction please post it and I'll check it out 
and fix it up when I get the chance. Cheers!

Note: The D# chord can be played a few different ways, I'm simply putting
      my preference to what I find easiest.

Tuning: Standard
Timing: 4/4


Chords:
   C Csus4 Gsus4 Dm9 Fmaj7 F Am7 Bbmaj7 Eb
e|-0---0----0---1----0---1--0----1----3--|
B|-1---1----1---1----1---1--1----3----4--|
G|-0---0----0---2----2---2--0----2----3--|
D|-2---3----0---0----3---3--2----3----5--|
A|-3---3----x---x----3---3--0----1----6--|
E|-x---x----3---x----x---1--x----x----x--|

     C       Csus4     Gsus4
The Movement comes in slow
       C       Csus4        Gsus4
It's a tune we both should know
        C         Dm9
But the walls are thin
      Fmaj7              C / Csus4 / Gsus4
So we keep our voices low

         C            Csus4   Gsus4
You're a bird with a pretty mouth
         C         Csus4      Gsus4
You're a bird with songs to shout
         C      Dm9       Fmaj7
And the same refrain continues
           Am7
Singing out

        Fmaj7           C
If you love her let her go
       Gsus4             Am7
If you love her let her go
          Bbmaj7         F
She sings beautiful and slow
  Eb             Gsus4            C / Csus4 / Gsus4
A tune that only caged birds know

             C         Csus4   Gsus4
So you're in Nashville on the phone
     C       Csus4    Gsus4
And I'm back here at home
        C         Dm9
And the words are new
       Fmaj7            Am7
But I recognise the tone


       Fmaj7            C / Csus4 / Gsus4 / Am7
If you love her let her go
       Fmaj7            C
If you love her let her go
       Gsus4             Am7
If you love her let her go
       Bbmaj7         F
She's beautifully composed
  Eb             Gsus4             C / Csus4 / Gsus4
A tune that only caged birds know


C / Am7             C      Am7
       My love goes free...
             C       Am7
My love goes free...
             C       Am7
My love goes free...
             C
My love goes free...