Who wrote the song "Evergreen (Love Theme from A Star Is Born)"?

She sat down and played on a guitar, the melody for "Evergreen" that she'd written. It was just such a beautiful melody. I said, "There's your love song. There's the big love song." I asked her for the melody. She put it on tape for me, and I took it home. I actually wrote that as the last thing, which I think bothered her. But all the Kris Kristofferson stuff was the first thing up on the shoot schedule. So I wrote the songs for Kris first.