Must the value of the bracelet be given in charity – the bracelet which the sister gifted to the mother, and then the mother gifted to the questioner, and then the questioner sold it – after the death of the sister who was looking for it, or should it be returned to her heirs?

The bracelet that the sister gifted to the mother became the mother's property, and the sister is not allowed to reclaim it; because the Prophet, peace and blessings be upon him, said: "The one who takes back his gift is like a dog that vomits and then returns to its vomit," except for the father, who is allowed to reclaim what he gives to his child.

As for what the mother did by gifting the bracelet to you, if she gifted similar items to the rest of your siblings, then there is no harm. And if she singled you out for a reason such as your poverty or large family, then there is also no harm. However, if she singled you out without a clear reason and preferred you over your siblings, then this is not permissible; because the Prophet, peace and blessings be upon him, said: "Fear Allah and be just among your children." The mother is like the father in the obligation of equal treatment. In this case, you are not obligated to return the bracelet or its value to your sister's heirs, but rather to return it or its value to your mother's estate, or to give each heir of your mother their rightful share from it.