How is the estate of a deceased grandmother to be distributed, leaving behind one daughter and the children of a son (one boy and one girl), given that she also has full siblings (from both father and mother) and half-siblings (from the father only)?

The inheritance of the deceased woman, if her heirs are limited to those mentioned, is distributed as follows: Half to her daughter as a prescribed share due to her being single and the absence of a son, based on the Almighty's saying: "And if there is only one, she will have half." The other half goes to her son's children by 'asabah (agnatic relationship), with the male receiving twice the share of the female. There is nothing for her brothers and sisters due to the presence of grandchildren (sons of her son). Inheritance matters must be referred to the Sharia courts to verify all heirs, wills, debts, and rights before division.