The only month I can stomach is
May, and
Hazel is too Old Witch using astringent. So they wouldn't be my choice. Also, they don't seem to match. I perceive
June as very dated; I wouldn't expect to meet one who wasn't retired.
Hazel might be resurgent where floral names are big, but the only one I've ever seen was the sister of a friend who is probably also retired by now; anyway, she is
Hazel Ann and goes by
Ann.