If the living siblings and grandchildren agree to transfer their shares to the sibling who wants sole ownership, that is all that is necessary. However, if anyone opposes the transfer, the others can still transfer and it would be between the sibling making the payments and the persons wanting their shares to determine who should be the owner. The persons who want to share in the house must compensate the person who has made the improvements, paid taxes and paid insurance.
In LA if you are survived by children only - All property passes to the children outright. If any of the children have predeceased t he individual and are survived by children, then the portion that would have passed to the predeceased child passes to his or her children.
Lawyer (JD)
Attorney-Business degree from The University of Texas