I know this is very very rough but I just worked it out quickly by ear.

It basically follows the bass, I just wanted to be able to play it acoustically so
obviously it doesn't sound as good as it would with all the different harmonies the 
Horrors use!

Am Dm Cm Bm

          Am     Dm
Is it her way
          Cm               Bm
Is it the way she looks at you
           Am     Dm
Seeing her face

As you walk through
    Cm          Bm
The crowded avenue
                Am     Dm
That Sets you afire
            Cm             Bm
Remembering all you left behind
                   Am      Dm
Don't fall back in line
           Cm             Bm
Better You let her memory die

Am     Bm

     Cm
Draw strength
     Bm          Am
Walk on into the night
           Bm
Better you try
            Cm
To pass her by
     Bm               Am
Walk on into the night


and the chords fit the same for the 2nd verse and chorus.

Any feedback would be appreciated!