Hello,
Yes, your mother is a British citizen since she was born in Scotland, part of UK.
Naturalization (or naturalisation) is the legal act or process by which a non-
citizen in a country may acquire
citizenship or nationality of that country.
If your child was
born in the UK and at the time of the birth either of her/his parents were: British citizens themselves; or. settled in the UK, then your child was automatically born a British citizen, and you can apply to the British Passport Office for a British passport for the child.
For further Clarification Use the Image below for British Citizen
View attachment 118