I like
May. (I also like
Maya and
Maisie but that's another story!)
I don't think it would be weird for a
May not to be born in
May - any more than I expect
April or
Avril to be born in
April or even
June in
June.
I have a niece - born this morning called Hilda-Mae. The only other Mays I have met are old women and it was probably a nn.