Scottish certificates are different and always have been.
Scottish birth certificates all show a place and time of birth, whether it's a single, twin, or triplet birth.
Scottish marriage certificates state the names and occupations not only of the bride/groom's father but their mothers too. (England/Wales have only recently started doing this).
Death certificates have place and time of death. I would also imagine the the Registrar would have gone to the castle to see the family rather than Anne having to go to the office.