There is no residency law in Scotland for those couples outside the UK wishing to get married in Scotland. This means that you can, if you wish, get married in Scotland within a short period of arrival.
In order that you may keep up to date with the legal requirements of the Registrar General of Scotland we refer you to the following website:-
Humanist Ceremonies
Humanist ceremonies have become legal in Scotland – which gives couples a further choice of the type of ceremony they wish to have.
A humanist wedding/affirmation can take place anywhere and is designed to suit the Bridal couple. It is dignified and serious, but with the religious element replaced by words and music which have real meaning for the couple. They can be as romantic and creative in designing their ceremony along with the celebrant.
For further information please look at the following link
http://www.humanism-scotland.org.uk/