It is narrated from Sayyidah Aishah (may Allah be pleased with her) that the Prophet (peace and blessings be upon him) said to Fatimah bint Qays (may Allah be pleased with her): "O Fatimah, housing and maintenance are only for the one over whom her husband (still) has the right of taking her back." This is how al-Aswad bin Amir Shadhan brought it, and the correct (version) is the first one.
Imam al-Bayhaqi (may Allah have mercy on him) said: The narration of the majority from Abu Salamah bin Abd al-Rahman (may Allah have mercy on him), from Fatimah bint Qays (may Allah be pleased with her), negates maintenance but not housing; and likewise is the narration of Ubaydullah bin Abdullah bin Utbah (may Allah have mercy on him) from Fatimah (may Allah be pleased with her). In the narration of some of them from Abu Salamah (may Allah have mercy on him), and in the narration of al-Sha'bi (may Allah have mercy on him) and al-Bahi (may Allah have mercy on him), both are negated together; and there is disagreement about it in the narration of Abu Bakr bin Abi al-Jahm (may Allah have mercy on him) from Fatimah (may Allah be pleased with her). What best fits the context of the hadith is that the Prophet (peace and blessings be upon him) negated maintenance, and permitted her to move because of a reason which perhaps she was shy to mention, and others mentioned it, as we have mentioned earlier in 'Kitab al-Idad'. The negation of housing was not narrated (soundly) at all. Do you not see that he (peace and blessings be upon him) did not say to her: "Spend your waiting period wherever you wish"? Rather, he sheltered her where he approved, since her husband was absent and had no agent to shelter her. As for his saying: "Housing and maintenance are only for the one regarding whom there is (a right of) taking back," it is not known in this hadith, and it has not come through any route that establishes the like of it. As for the objection of those who objected to Fatimah (may Allah be pleased with her), it was only because she concealed the reason for her moving.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب النفقات / 15725