(I'm sure this was mentioned before, but I can't find where)
"Tauriel" - Daughter of the Forest - could have no other meaning than "The Daughter of the Mirkwood Forest". PJ and his simplifications.
I think it's better that PJ invented his own name, even if he used Tolkien' elvish. I can't help associating "Itaril" with Idril (wel, PJ took it from here), and I don't want to lose respect for her.