The song in question was Hotel California. Don Felder wrote the first draft of that song, and believes it to be his baby that was taken from him.Great question. I never thought about it. They're all just Eagle songs. They seemed to match the song to the vocalist perfectly (or that's how it looks in hindsight). Probably Glen Frey by a hair, but yeah so many good choices.
I did read that Don Felder wanted to sing Life In The Fast Lane, and was overruled...creating yet one more point of disgruntlement between him and Henley/Frey.