The Messenger of Allah (ﷺ) was a person of gentle disposition, so when she (A'Isha) wished for a thing, he accepted it (provided it did not contravene the teachings of Islam). So he (in pursuance of her desire for a separate lhram for Umra) sent her with 'Abd al-Rahman b. Abu Bakr and she put on Ihram for 'Umra at al-Tan'im. Matar and Abu Zubair (the two narrators amongst the chain of transmitters) said: Whenever 'A'isha performed Hajj she did as she had done along with Allah's Apostle (ﷺ).
Sahih Muslim Book 15, Hadith 148
← Previous Hadith Jabir b. Abdullah is reported to have said that the Messenger of Allah (ﷺ) came to 'A'isha (Allah be pleased with her) and she was weeping. The rest of the hadith is the same.

Sahih Muslim Book 15, Hadith 147 Next Hadith → We went with Allah's Messenger (ﷺ) in 'a state of Ihram for the Hajj. There were women and children with us. When we reached Mecca we circumambulated the House and (ran) between al-Safa and al-Marwa. The Messenger of Allah (ﷺ) said: He who has no sacrificial animal with him should put off lhram. We said: What kind of putting off? He said: Getting out of lhram completely. So we came to our wives, and put on our clothes and applied perfume. When it was the day of Tarwiya, we put on Ihram for Hajj. and the first circumambulation and (running) between al-Safa and al-Marwa sufficed us.. Allah's Messenger (ﷺ) commanded us to become seven partners (in the sacrifice) of a camel and a cow.

Sahih Muslim Book 15, Hadith 149