I think it's a cute name.
At the risk of revealing my lack of shame at my own lowbrow-ness, I'm not reminded of Shakespeare in the least -- I'm just reminded strongly of the little girl who's possessed in
The Exorcist.
That doesn't turn me off the name, though; it's just not quite my style.
I like:
Calla ReganRegan AdaraRegan Juliet
- chazda