Sahih Bukhari

Al-Fadl (his brother) was riding behind Allah's Messenger (ﷺ) and a woman from the tribe of Khath'am came and Al-Fadl started looking at her and she started looking at him. The Prophet (ﷺ) turned Al-Fadl's face to the other side. The woman said, "O Allah's Messenger (ﷺ)! The obligation of Hajj enjoined by Allah on His devotees has become due on my father and he is old and weak, and he cannot sit firm on the Mount; may I perform Hajj on his behalf?" The Prophet (ﷺ) replied, "Yes, you may." That happened during the Hajj-al-Wida (of the Prophet (ﷺ) ).

I saw that Allah's Messenger (ﷺ) used to ride on his Mount at Dhul Hulaifa and used to start saying, "Labbaik" when the Mount stood upright.

that Allah's Messenger (ﷺ) started saying, "Labbaik" from Dhul-Hulaifa when his Mount stood upright carrying him .

The Prophet (ﷺ) sent my brother, 'Abdur Rahman with me to Tan'im for the 'Umra, and he made me ride on the packsaddle (of a camel). 'Umar said, "Be ready to travel for Hajj as it (Hajj) is one of the two kind of Jihad".

Anas performed the Hajj on a packsaddle and he was not a miser. Anas said, "Allah's Messenger (ﷺ) performed Hajj on a packsaddle and the same Mount was carrying his baggage too."

`Aisha said, "O Allah's Messenger (ﷺ)! You performed `Umra but I did not." He said, "O `Abdur-Rahman! Go along with your sister and let her perform `Umra from Tan`im." `Abdur-Rahman made her ride over the packsaddle of a she-camel and she performed `Umra.