In this narration Aisha (the wife of holy Prophet) says that the Prophet (only) wrapped these personalities Ali, Fatima, Hassan and Hussain and recited this verse about Ahlalbait (33:33) " Allah only desires to take away any uncleanliness from you, O people of the household, and purify you (thorough purifying)"
The narration of Tirmidhi says that the Prophet's wife Umme Salma wanted to join these personalities under the blanket but the Prophet did not allow her or any wife.
It is well proven from Sahi Muslim that wives are not included in those Ahlalbait that Prophet said “I am leaving two things among you Quran and Ahlalbait.”
Imam Ali, Lady Fatima, Imam Hassan and Hussain are the one who represented Islam with the holy Prophet in Mubahala, On that occasion the Prophet again showed to the world that these are (the only) Ahlalbait.
The Prophet(pbuh) wrapped these personalities only and did not include any wife and recited the verse of TATHEER for these personalities."Allah only desires to take away any uncleanliness from you, O people of the household, and purify you (thorough purifying)"
O Allah send your blessings on the holy Prophet and his progeny and let Muslim Ummah recognize the special status of Imam Ali, Lady Fatima , Imam Hassan and Imam Hussain, the status that they are the central figures of Islam after the holy Prophet.(ameen)