Rem's Theme and Norah Jones

I LOVE this anime, and particularly love Rem's theme/lullaby. I heard Norah Jone's "Good Morning" the other day and it immediately reminded me of Trigun. Have you guys heard how similar the songs are to each other? They are both beautiful and I was wondering if you think it's just coincidence or if they are related?

https://www.youtube.com/watch?v=INCWyHgroCg










You only have to fear yourself.