Need help understanding a Civil Registration Record

I'm having trouble understanding a Civil Registration of a birth. This record is from Guanajuato, Mexico. The troublesome phrase regarding the father of the child who has come in to register the birth: casado cannonicamente y soltero segun la ley and the daughter is listed as , hija natural, and the mother is not named. I think I read the record correctly. In this child's baptism record she is listed as the legitimate child of the named parents. This couple had 2 earlier children, baptised in the same church and listed as legitimate children. Neither of the other two children's births were registered with the State.
Thank you, Gloria