A:
The basic ruling is that
the property left by a person after their death shall be transferred to their heirs who are entitled to it. As for those who have treated their step-mother kindly by hosting her while they are not among her legal heirs, they are not entitled to take any of her inheritance; even a small amount unless they have the consent of the legal heirs. They (people of her husband's house) will be rewarded by Allah (Exalted be He) for being kind to her. May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.