I think this is how the song is played. Not 100% sure, but it should do.

Standard tuning.
Capo 1.

Chords played:
Em    -0-2-2-0-0-0- or Em7   -0-2-2-0-0-3-
D     -x-x-0-2-3-2-
C     -x-3-2-0-1-0- or Cadd9 -x-3-2-0-3-3-
Dsus2 -x-x-0-2-3-0-
G     -3-2-0-0-3-3-

Verse 1:

Em (022000@1)     DC
And she was just
             Em (022000@1)    DC
another lullaby
                 Em (022000@1)     DC
with candlelight eyes
               Em (022000@1)       DC
singing you to sleep,
            Em (022000@1)      DC
drowsy with heat.

Em (022000@1)     DC
And you were just
             Em (022000@1)     DC
a warning to avoid
                Em (022000@1)     DC
asleep upon the soil,
             Em (022000@1)         DC
holding onto night,
                 Em (022000@1)        DC
fading with its' light.
                 Em (022000@1)       DC
Fading with its' light.

Chorus:

Cadd9 (x32030@1)                    G (320003@1)                    Em7
      And your heart was a bird, scared still and alone
                   Dand (xx0232@1)the only thing she ever cared for
Cadd9 (x32030@1)                       G (320003@1)     with wings tattered and torn,
                 Em7                   D (xx0232@1)Dsus2beating (xx0230@1)unevenly,   beating unevenly.
Cadd9 (x32030@1)                    G (320003@1)                    Em7
      And your heart was a bird, scared still and alone,
             Dand (xx0232@1)the only thing she ever cared for.
Cadd9 (x32030@1)                  G (320003@1)     And your heart was forgotten, 
             Em7
alone on the floor.
              D (xx0232@1)               Em (022000@1)       DC
She picked it up, brushed it of dust.
              Em (022000@1)        DC
Brushed it of dust.

Verse 2:

Em (022000@1)      DC
And you were just
                 Em (022000@1)         DC
a love-drunk vagabond
                           Em (022000@1)       DC
with little reason to hold on.
                    Em (022000@1)         DC
Pressed against the glass,
                Em (022000@1)          DC
watching people pass.
                Em (022000@1)          D[C] (xx0232@1)Watching people pass...

Chorus:

Cadd9 (x32030@1)                    G (320003@1)                    Em7
      And your heart was a bird, scared still and alone
                   Dand (xx0232@1)the only thing she ever cared for
Cadd9 (x32030@1)                       G (320003@1)     with wings tattered and torn,
                 Em7                   D (xx0232@1)Dsus2beating (xx0230@1)unevenly,   beating unevenly.
Cadd9 (x32030@1)                    G (320003@1)                    Em7
      And your heart was a bird, scared still and alone,
             Dand (xx0232@1)the only thing she ever cared for.
Cadd9 (x32030@1)                  G (320003@1)     And your heart was forgotten, 
             Em7
alone on the floor.
              D (xx0232@1)               Em (022000@1)       DC
She picked it up, brushed it of dust.
              Em (022000@1)        DC
Brushed it of dust.

Verse 3:

Em (022000@1)        D (xx0232@1)C (x32010@1)   And you both intermingled
Em (022000@1)      DC
    beautiful, and as simple...
Em (022000@1)        D (xx0232@1)C (x32010@1)   And you both intermingled...
Em (022000@1)        D (xx0232@1)   C (x32010@1)       Em (022000@1)        DC
    beautiful and simple as dust.
   Em (022000@1)      DC
As dust.

Chorus:

Cadd9 (x32030@1)                    G (320003@1)                    Em7
      And your heart was a bird, scared still and alone
                   Dand (xx0232@1)the only thing she ever cared for
Cadd9 (x32030@1)                       G (320003@1)     with wings tattered and torn,
                 Em7                   D (xx0232@1)Dsus2beating (xx0230@1)unevenly,   beating unevenly.
Cadd9 (x32030@1)                    G (320003@1)                    Em7
      And your heart was a bird, scared still and alone,
             Dand (xx0232@1)the only thing she ever cared for.
Cadd9 (x32030@1)                  G (320003@1)     And your heart was forgotten, 
             Em7
alone on the floor.
              D (xx0232@1)               Em (022000@1)       DC
She picked it up, brushed it of dust.
              Em (022000@1)        DC
Brushed it of dust.

Verse 4:

Em (022000@1)       DC
And you were just
        Em (022000@1)          DC
another lullaby
                 Em (022000@1)        DC
with candlelight eyes
               Em (022000@1)          DC
singing her to sleep,
               Em (022000@1)        DC~ (xx0232@1)singing her to sleep.