There is a false but famous narration in some books which claims that Ayesha was a child ( between six and nine years) when she got married with the Prophet Muhammad (SAWA). This narration is fabricated even according to many Sunni scholars because of :
1. The narrator is just one single person who is Hisham Ibn O'rwah Ibn al-Zubair who claimed narrating from Ayesha. Ayesha died on year 57 or year 58 after Hijra, while Hisham Ibn O'rwah was born in year 61 after Hijra. How can he claim narrating from her when she dies few years before his his birth?
2. Hisham Ibn O'rwah is not an authentic narrator according to many Sunni scholars including Al-Soyooti who included his name with the list of Mudalliseen ( those who mix and hide the reality in their narrations) ( Asmaa' al- Mudalliseen). Other leading Sunni scholars like Malik Ibn Anas , Al-Midyani and many others refuse the narrations of Hishan Ibn O'rwah.
3. There are certain historic facts in Sunni books prove that the age of Ayesha was between 20 to 30 or even more when her marriage with the Proohet (SAWA) took place:
3A. Asmaa' Bint Abi Bakr , the elder sister of Ayesha was elder then her at least few years. Some Sunni scholars said few years and said ten years. Asmaa' Bint Abi Bakr was born 27 years before the Bi'thah of the Prophet (SAWA) ( Majma' al-Zawa'id, V. 9, P. 260, Omdatul Qaari Fi Sharh Saheeh al-Bukhari, V. 2, P. 93, al-Majma' al-Kaberi by Al-Tabarani , V. 24, P. 77 and many others. This means that when the Prophet (SAWA) migrated from Makkah to Madinah after 13 years , the age of Asmaa' Bint Abi Bakr was 40 years. As the of Ayesha was few years ( or maximum ten years ) younger than her sister Asmaa', then the age of Ayesha when the Prophet ( SAWA) migrated to Madina was not less than thirty years.
As the marriage took place two years after Hijra, then the age of Ayesha was then more than thirty years.
4. It is also worth mentioning that the well known Sunni Historian Muhammad Ibn Sa'ad in His famous book Al-Tabaqaat al-Kubra (8: 9) narrated from Abdullah Ibn Maleekah that when the Prophet ( SAWA) proposed to Ayesha, Abu Baki ( her father) told him: I have given her for marriage to Jubair Ibn Mut'im, so, let me take her back from him, and he took her back from him by divorce, then gave her to the Prophet ( SAWA) for marriage.
It is also mentioned in history that Ayesha had a son from her first marriage called Abdullah, that is why she was called by the Prophet by the name of her son Abdullah as Umm Abdillah. ( Sunan Abi Dawood).