Scots Law is a minefield!

It depends on prior rights and legal rights currently the law states
"A. Where the deceased person did not leave a will (intestacy)
1. Prior Rights
After debts and other liabilities have been met, a widow, widower or a surviving civil partner has a certain " prior rights of a surviving spouse or civil partner" in the deceased person's estate, where no will has been left.
He or she is entitled to the dwelling house of the deceased in which the surviving spouse or civil partner was resident at the time of the deceased's death, plus up to the value of £24,000 any furnishings and furniture of that house. (In certain cases, e.g. where the house is a farmhouse or part of a shop, or where the house is worth more than £300,000 the entitlement is not to the house itself, but to its value up to £300,000.)
The surviving spouse or civil partner is also entitled to the first £42,000 out of the estate if the deceased left children or descendants of children or to the first £75,000 if the deceased left no children or descendants.
Prior rights are a first claim on the estate, before legal rights (see below).
2. Legal Rights
A surviving spouse or civil partner and children are entitled to certain "legal right" out of the deceased person's moveable estate. In Scots law, heritable property means land and buildings, while moveable property includes such things as money, shares, cars, furniture and jewellery.
The surviving spouse or civil partner is entitled to one-third of the deceased's moveable estate if the deceased left children or descendants of children, or to one-half of it if the deceased left no such children or descendants.
The children are collectively entitled to one-third of the deceased's moveable estate if the deceased left a spouse or civil partner, or to one-half of it if the deceased left no spouse or civil partner. Each child has an equal claim. Where a child would have had a claim had he (she) not died before his (her) parent, his (her) descendants may claim his (her) share by the principle known as representation."