looking for

I'm looking for a song with lyrics come in from the rain
Took a train to Maine
Met a man
Going back to LA


Help Please find the song!!!!!

try this song called "LA Song" by Beth Hart
the one I found on youtube is a live version:
YouTube - Beth Hart - LA Song
there are lyrics that resemble the lines you describe:

So she took a train, she took a train
To a little old town without a name
She met a man
He took her in
But fed her all the same bull again

(...)

I'm out of my pain,
So I'm going back to LA
Back to LA
Back to LA
I'm going back to LA
I'm going back to LA

maybe this could be the right one.. was the first thing coming to my mind when reading your post :-)