I personally decided to name my daughter Jayna using my Father's name Jay and putting the na at the end to make it feminine. When I came up with the name I did not realize I had heard it before. I thought I was coming up with something new. I have since realized the the Girl in Marvel Comics Hall of Justice Wonder Twins was named Jayna. I was eight when I watched this show.
I'm obviously a huge Star Wars fan, so I think it would be cool to use a variation of this name name, Jaina, as Jaina Solo is the name of Han Solo and Leia Organa Solo's daughter in the books, but it does not blatantly scream "Star Wars" to non-fans.
Jayna (or Jaynagul), is a Kazakh name, but I am not sure what it means. I think that it sounds beautiful, whoever names their daughter it deserves a lot of compliments. :)