Is it permissible for a mother to register the current house in the name of one of her daughters in order to protect them from being expelled by their brother, and how can the mentally ill daughter's right to inheritance be guaranteed, and how does the mother choose who will care for her ill daughter during her lifetime?

We understand from the question that the mother has three daughters: one is mentally ill, another is unmarried (and she is the one who wants the house registered in her name), and the third is married. If the intention behind registering the house in the daughter's name is solely to preserve the daughters' inheritance rights, and not a gift or a will, then the house should not be registered in the daughter's name. This is because it could lead to the daughters monopolizing the house and depriving the son of his right to inheritance. The fear of the brother's injustice can be avoided by resorting to the judiciary if injustice occurs.