I am sorry, I disagree with dzug, but I do not know enough about Scottish Rights to advise in full - hopefully there is a scottish legal bod out there who can help.
I understood that whether the testator dies testate or intestate, the spouse and children (and this includes remoter descendants) had automatic rights to share in the movable property of the deceased. In the case of children and remoter descendents, I understand the "Legitim" share is one half of the movable estate. Furthermore, you can only take either under Legitim or under the will.
I would be inclined to take legal advice asap.