Iberians names are made of your name plus the surnames of both parents in any order.
Also, women after marring dont get the husband's surname, everyone keep theirs from birth to death. (They changing them is crazy for us, like you are not the same person)
So, an example would be:
Antonio Pérez García and Laura Rodríguez Pascual have a child called José Pérez Rodríguez or José Rodríguez Pérez