Tinsley. Give me strength.
If you want 'relatively uncommon at the moment', OP, how about Jane, Samantha, Rachel, Sarah, Gillian, Janet, Barbara, Lisa, Melanie, Jacqueline, Gail, Angela or Louise?
I do understand your desire to have something a bit uncommon, OP. I chose names that are completely 'normal' (not yooneeque), but extremely uncommon, for my DC. They very rarely get mentioned on MN, which is a good thing in my book.