Is the money left by the deceased mother in the bank, which she intended to allocate for her daughter's marriage—after repeatedly affirming this intention, and having performed Hajj with it then intending to replenish it—the sole right of the daughter, or should it be distributed as a legal inheritance among the heirs?

The money is to be divided among the heirs according to the prescribed Islamic division. It is not permissible for the mother to bequeath it to her daughter, because a bequest to an heir is forbidden and does not take effect unless consented to by the adult, mature heir. Before dividing the inheritance, the heirs must allocate funds for their mother to perform Hajj if she had not performed the obligatory Hajj despite being able to, based on Allah's saying: "after any bequest she may have made or any debt."