Is it permissible for the wife to bequeath an inheritance to her adopted son and daughter, knowing that she owns two houses and an estate from her father, and this is after the death of her husband who left a house in her name in appreciation of her contribution?

The adopted child does not inherit because he is not a legal son, and it is not permissible to attribute him to the one who adopted him. The wife may bequeath to him a portion of her private wealth after her death, within the limit of one-third.

As for how the husband's inheritance is to be divided, the heirs must be precisely enumerated. If the husband did not leave any heirs except his wife, his two full sisters, and his maternal brother, then the wife gets one-fourth, the maternal siblings share one-third equally, and the remainder is returned to the maternal siblings. As for the wife's inheritance and the house registered in her name, their distribution cannot be determined now because the wife is alive, and the circumstances may change.