Rock song (alternative) about beauty and suicide or murder "down by a river"

Can't remember this one, it has a good beat but the lyrics are strange.

It's about a pretty girl (beauty) and maybe suicide or murder or rape "by a river"

wierd but good beat.

thanks for trying

Try Pulp's "Down by the river" or

May be a cover of Neil Young's
"Down By The River" (lyrics follow)

Be on my side,
I'll be on your side,
baby
There is no reason
for you to hide
It's so hard for me
staying here all alone
When you could be
taking me for a ride.

Yeah, she could drag me
over the rainbow,
send me away
Down by the river
I shot my baby
Down by the river,
Dead, oh, shot her dead.

You take my hand,
I'll take your hand
Together we may get away
This much madness
is too much sorrow
It's impossible
to make it today.

Yeah, she could drag me
over the rainbow,
send me away
Down by the river
I shot my baby
Down by the river,
Dead, oh, shot her dead.

Be on my side,
I'll be on your side,
baby
There is no reason
for you to hide
It's so hard for me
staying here all alone
When you could be
taking me for a ride.

Yeah, she could drag me
over the rainbow,
send me away
Down by the river
I shot my baby
Down by the river,
Dead, oh, shot her dead.

I can think of 2 possibilities - 1) Hazard by Richard Marx. Here is an extract of the lyrics:

....We used to walk down by the river
She loved to watch the sun go down
We used to walk along the river
And dream our way out of this town ...
No one understood what I felt for Mary
No one cared until the night she went out walking alone
And never came home ...

2) Where The Wild Roses Grow by Kylie Minogue and Nick Cave. An extract of the lyrics:

...On the third day he took me to the river
He showed me the roses and we kissed
And the last thing I heard was a muttered word
As he stood smiling above me with a rock in his fist..

Of the two above, the Richard Marx one is the more 'beatier' of the two.