Who does this song?
 

I was watching season six part 1 of my "Sex and the City" DVD collection, and I believe the episode was called, "The Post-It Always Sticks Twice" at the very end of the episode when Carrie is on the trapeeze, they play some song, which I think is called "Breathe". I waited at the end to see if it was in the credits, but oddly it was not. Could someone tell me the artists name and the album?

NO, it's not the Faith Hill "Breathe"

Nothing really mentioned there that seems to relate.

http://www.hbo.com/city/episode/music/episode81.shtml

Is this the song?

I played the fool today
and I can see us vanishing into the crowd
longing for home again, but home is a feeling I've buried in you
I'm alright
I'm alright, it only hurts when I breathe
And I can't ask for things to be still again
No, I can't ask for you to offer the world through your eyes
longing for home again, but home is a feeling I've buried in you
I'm alright
I'm alright, it only hurts when I breathe
I'm alright
I'm alright, it only hurts when I breathe
My window through which nothing hides and everything sings
I'm counting the signs and cursing the miles in between
But home is a feeling I've buried in you
That I've buried in you
I'm alright
I'm alright, it only hurts when I breathe
I'm alright
I'm alright, it only hurts when I breathe
When I breathe
It only hurts when I breathe
When I breathe
It only hurts when I breathe

If so, its by Greenwheel.
Came out a year or so ago. I know it was played on an episode of Smalleville as well. And Melissa Etheridge covered it on her latest CD.

FOUND IT!!
 

The episode was actually called "The catch", and the artist was Michelle Branch(man she has a lot of hits for only two albums) and was on her last album "Hotel Paper". I loved that song.