Naima: John Coltrane and Hisham Matar

Earlier, I noted about Hisham Matar's short story, Naima, which was featured in the New Yorker.  It was a coincidence that his story was published about the time that protests began in Egypt, and later in Libya as well.

It all came together so well that it became a part of the final project assignment for one of my classes.  But, what I didn't know then was that one of John Coltrane's pieces is titled Naima.  I suppose it is yet another measure of how music-challenged I am!

Of course, to the nerd in me, the immediately nagging question was this: what is up with Coltrane titling it Naima?  According to Wikipedia, he named the composition after his wife, Juanita Naima Grubbs.

So, now I am all the more curious: where from did Coltrane's wife get the name Naima?  The all-knowing Wikipedia draws a blank!

The baby names website notes that Naima is a name of Arabic origin, and means to be contented.  Even as I read that, I was thinking, "shouldn't it be "to be content" and not "to be contented" ...?"  I hope a grammarian can clear this up!  (editor: what makes you think that anybody reads this blog?  Awshutupalready, we have traffic data!) 

Anyway, perhaps it is with this meaning in mind that Matar named that character Naima?