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Dear JACUSTOMER - Once she gives up her rights then she has none. Having said that, if she goes to a public event I see no reason why she could not be in attendance. Obviously if there is an order of protection to keep her distance that would be a problem. I don't know what basis there would be for a protection order if she poses no danger to the child or tries to have personal contact.
I have no idea why she would want to give up her rights unless the child is to be adopted. If she doesn't want to exercise her rights no one can force her to do so therefore I don't see the point in formally giving up her rights.