If you don't leave a Will, the rules of intestate succession determine inheritance.  Intestate means dying without a Will.  Under intestate succession, your surviving spouse inherits your  entire estate which would include your 1/7th interest in your mother's house.  If there isn't any surviving spouse, your estate will be divided equally among your surviving children.  If you are predeceased by a child, who had surviving children, those children (your grandchildren) would inherit your deceased child's share.If you leave a Will, you can designate the beneficiary or beneficiaries who inherit the 1/7th interest in your mother's house.