We record individuals with their full names: given name, middle name(s), surname(s). Not all ethnic backgrounds have a single surname. French-Canadians, for example, utilized “dit” names to differentiate between individuals of the same surname. Those researching in Spain and her former colonies will see the tradition of children carrying the surnames of both parents. Be certain to follow the traditions of the culture you are researching.
Women are recorded under their maiden names, not their married names. When John Smith married Jane Doe, we record her as Jane Doe. In the textual discussions, we may refer to her as Jane (Doe) Smith, but never as Jane Smith.