L.M.
It is great that you want to help but.announcements should really come from the parents-to-be unless they have specifically indicated that they want you to do that for them. Announcements typically come after the birth so it gives name, dob, weight, height, etc. and maybe a picture. As a new mom, it is something you really want your hand in.
Now, if you are wanting to through the parents or mom-to-be a shower, then my all means send out shower invitations. Since you didn't mention how far "out of state" she moved, I don't know if the family traveling to a shower is realistic or if you would send them out figuring many could not make it but may send something since she is family. In which case, you could through her a small shower or luncheon but arrange to have any gifts sent from out of town delivered to you so you could surprise her later.