In a perfect world, where every girl could talk to her parents and count on them being there for her when she really needed them maybe. But it's not perfect, and it's her body and her life. I think they should be made aware of all the options they have, and if counseling is requested I think it should be provided, but I think the end decision should be made by her and no one else.
My MIL got pregnant at 14, her parents packed her a suitcase and dropped her off crying in her boyfriends yard. They didn't look back and they didn't turn around.
Some parents religious fruitcakes or not, have either never grown up themselves or just should have never had kids.