Every law of succession defines the rules of distribution of property in case a person dies without making a will.
The Christian Law of Succession is governed by the provisions in the Indian Succession Act, 1925.
As per section 30 of the Indian Succession Act, any property which has not already been bequeathed or allocated as per legal process, will, upon the death of the owner, insofar as he is an Indian Christian, devolve as per the rules contained in Chapter II of the Act.
with reference to your case, as per section 25, it qualifies ‘lineal consanguinity' with regard to descent in a direct line.
Under this head fall those relations who are descendants from one another or both from the same common ancestor
The law of intestate succession under S. 32 states that: The property of an intestate devolves upon the wife or husband or upon those who are of the kindred of the deceased, in the order and according to the rules.
As per Sections 36-40 of the Act, the heirs to a Christian shall take his property as tenants-in-common and not as joint tenants. that if the deceased has left behind both a widow and lineal descendants, she will get one-third share in his estate while the remaining two-thirds will go to the latter. If no lineal descendants have been left but other kindred are alive, one-half of the estate passes to the widow and the rest to the kindred. And if no kindred are left either, the whole of the estate shall belong to his widow.
In your case neither the widower nor the direct lineal descendants are alive hence the other kindred descendants who are alive shall acquire the properties.