Now a question as I am Stateside and still learning about international records...Would parish marriage records or any state record have information about the parents of the bride and groom in Scotland/UK in general?
In Scotland, before 1855, a parish marriage record occasionally names the bride's father, rarely names the groom's father, and I have never seen one that names the couple's mothers. However you can often find the names of the parents of people married before 1855 if they died in Scotland after 1855, because a Scottish civil death certificate names both parents of the deceased, including the maiden surname of the deceased's mother (assuming that the informant knew this, of course, and that the informant got it right, which is sometimes not the case).
From 1855 onwards, a statutory civil marriage certificate gives the full names of both parties' parents, including the maiden surnames of their mothers.
English, Welsh and Irish marriage certificates (1837 onwards in E and W, 1845 onwards for Protestants and 1864 onwards for Catholics in Ireland) usually name the couple's fathers but not their mothers. E, W and I death certificates contain no information about the parents of the deceased, and sometimes not even the name of the deceased's spouse.