My question involves name change laws in the State of: alabama

my daughter carrys her bio fathers last name, however he and i were never married or really had a relationship with each other. he did sign the birth certificate, and pays in on child support so hes somewhat in her life. i have married and now have a family of my own and we wanted to change my daughters last name so that she will have ours now-can i do so without her bio dads permission?