It is narrated from Abu Salamah (may Allah have mercy on him) that Sayyida Fatimah (may Allah be pleased with her) asked Sayyiduna Abu Bakr Siddiq (may Allah be pleased with him): "When you depart from this world, who will inherit from you?" He replied: "My wife and children." Sayyida Fatimah (may Allah be pleased with her) asked: "Then why are we not the heirs of the Prophet (peace and blessings be upon him)?" He replied: "I heard the Prophet (peace and blessings be upon him) say that inheritance is not established in the wealth of a Prophet. However, I will continue to provide for and support those whom the Prophet (peace and blessings be upon him) used to provide for and support, and I will spend on those on whom the Prophet (peace and blessings be upon him) used to spend."
Hadith Referenceمسند احمد / مسند الخلفاء الراشدين / 60
Hadith Gradingحکم دارالسلام:حديث صحيح لغيره، وأبو سلمة لم يدرك أبا بكر، لكن سيأتي الحديث موصولاً برقم: 79