Next, once the photos are taken, they belong to the photographer. Although it is nice if everyone refrains from posting her pictures on Facebook, it is not rude of them to do so. What about pictures that they take with the baby? Are those not allowed as well? The thing is, if you really don't want her pictures to go online, then you should not allow anyone to take her pictures. I don't think you have rights over those pictures after you consent for them to be taken.
I believe the OP is in the US. While the photographs themselves might belong to the photographer, individuals do retain the right to the use of their name and image in publication. With very rare exception (and events of the last week being one of those types of exceptions) individuals can expect that any media outlet (newspapers, books, television, and by extension, social media) would obtain a consent to release from the individuals in the photograph. If the individual is a minor, then the consent must be obtained from the minor's parent/guardian. Here are some recent examples of photo releases I've signed:
-Every single school year for every child when they've been enrolled in school (I homeschool now).
-An event that took place at the children's hospital when oldest DS was a patient. My mother and I signed releases for ourselves and all of our children who were present at the event.
-An event at a Shriner's hospital; releases signed for myself and my children.
-Not me, but my parents: They went to an series of events at the state capitol and signed dozens of photo releases for themselves and their still-minor children.
-Registration paperwork for two different fundraising events included photo releases.
-Purchasing tickets for several local events (Food and Wine Festival, Boat Show) indicated that cameras would be present and entrance into the event was implied consent.
I know several people who have chosen not to allow their children's pictures to be posted on facebook or anywhere else on the web, and I don't find it unreasonable to be expected to respect the rules my friends have laid down for their children. I have had to crop several pictures I wanted to post because one of those children was in them, and that's perfectly okay. The nice thing about digital photography is that everybody can be a photo editor, and they don't even have to spend any money! I just use Paint, and that comes free with any Windows computer.