When any person shall die seized of any estate of inheritance in lands, tenements, and hereditaments not devised, the same shall descend to his or her children, and their descendants, in equal parts, the descendants of the deceased child or grandchild to take the share of the deceased parent in equal parts among them. When there shall not be a child or children of the intestate nor descendants of such children, then to the brothers and sisters and father and mother of the intestate and the descendants of such brothers and sisters in equal parts, the descendants of a sister or brother of the intestate to have in equal parts among them their deceased parent’s share. If there shall not be a child or children of the intestate, or descendants of such children, or brothers or sisters, or descendants of them, or father or mother, then such estate shall descend, in equal parts, to the grandparents and uncles and aunts, if any there be; otherwise, such estate shall descend in equal parts to the next of kin of the intestate in equal degree, computing by the rules of the civil law. There shall not be any representation among collaterals, except among the descendants of the brothers and sisters of the intestate.