This is how the song is played live (full band)
The electric guitar on the album version also follows this pattern.

Capo: Fret 9

Chords (all relative to capo)

      C X32010
Cadd2/B X20010
     Am X02210
     Dm XX0231
      G 320003
      F X33211
     E7 020100
      D XX0232
     Em 022000

C
Babydoll,
       Cadd2/B                   Am
Do you believe they'll catch you when you fall?
          Dm                              G    (F) (G)
And when morning comes the sun is gonna shine
C                      Cadd2/B                Am
Don't forget your minor key's, your half-lit cigarette
            Dm                                      G
Cause when morning comes, god knows that you'll be mine

  F   G    C    E7
So let me in 
             Am          G           F
I'm ready to beg and to sing for my sins
                 Am              G      F
Not leave it to chance and sweet coincidence
                  D                       G    F  G
Well that's just crazy and you know it's true

          C   Cadd2/B      Am
Well they sa - id you was long gone 
Em                  F      C                F      G
I just laughed and said alright, bring her home tonight
       C             Cadd2/B   Am
And I heard you was graciously put on
Em                  F        C             F      G     F  G
I just laughed and said good night, guess it's alright

C
Babydoll,
            Cadd2/B           Am
The men who hang like flowers in your hall
     Dm                               G    (F) (G)
Are asking when you're love is gonna show
    C
And who knows why 
             Cadd2/B          Am
The love you need will always pass you by
        Dm                                 G
Well I heard it's true your love is gonna grow

  F   G    C    E7
So let me know 
                     Am   G     F
Cause I can stay or honey I can go
            Am        G      F
Just to wherever you tell me so
             D                          G    F  G 
And find my place there and there I'll stay

          C  Cadd2/B       Am
Well they sa - id you was burned out 
Em                  F        C              F                 G
I just laughed and said come on, she's not burned she's just gone
        C          Cadd2/B      Am
And it took me too long till I found out 
 Em             F        C        F      G
Faces that you know the best, oh well I guess
           C             Cadd2/B        Am
And they laughed when you said you was leaving
 Em        F         C              F              G
Everybody knows you well, 'cept for me, can't you tell
         C               Cadd2/B       Am
And you watched from the wings of the late show
 Em            F        C           F       G     F  G
Roses by your feet, of red, all for me you said

 C  Cadd2/B  Am          Dm          G      F G         
Babydoll... Babydoll... Babydoll... Babydoll