@rugbygirl - They were both perinatal nurses according to my sister who is a nurse. It's one field in registered nursing, but the hospital may have two separate staffs for their convenience. Did you deliver in a hospital that moved you to a different area after you had your baby?
The "peri" means that this kind of nurse cares for women and babies "around" the natal period--that is, right before and right after birth.
I hope you had nice nurses! People spend so much time choosing their doctor and don't realize that it's the nurse, whom you can't pick, with whom you'll really be spending the most time.