As the father, he can ask to be added to her birth certificate and then he can attempt to assert parental rights (establish a custody and visitation arrangement). If he is truly unfit and/or has abandoned your daughter, your best option may be to terminate his parental rights, which is permanent. I recommend finding a qualified attorney in your area. Good luck to you.
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You cannot simply add fiance's name to the birth certificate and think that it fixes the problem. Bio-dad has legal rights (and obligations), and if you want fiance to be the "legal" dad, then he has go through the adoption process. I am including links below that may be of some help. Good luck.
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