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 (x02210@1)   DmIs (xx0231@1)it her way
          Cm (x3101x@1)             BmIs (x24432@1)it the way she looks at you
           Am (x02210@1)   DmSeeing (xx0231@1)her face

As you walk through
    Cm (x3101x@1)        BmThe (x24432@1)crowded avenue
                Am (x02210@1)   DmThat (xx0231@1)Sets you afire
            Cm (x3101x@1)           BmRemembering (x24432@1)all you left behind
                   Am (x02210@1)    DmDon't (xx0231@1)fall back in line
           Cm (x3101x@1)           BmBetter (x24432@1)You let her memory die

Am (x02210@1)   Bm (x24432@1)CmDraw (x3101x@1)strength
     Bm (x24432@1)        AmWalk (x02210@1)on into the night
           BmBetter (x24432@1)you try
            CmTo (x3101x@1)pass her by
     Bm (x24432@1)             AmWalk (x02210@1)on into the night

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

Any feedback would be appreciated!