Yahya bin Abi Ishaq يحيى بن أبي إسحاق · The Book of Hajj

a woman from Khath'am asked the Prophet on the morning of the Day of Sacrifice: "O Messenger of Allah! The command of Allah to His slaves to perform Hajj has come, while my father is an old man and cannot sit firmly in the saddle. Can I perform Hajj on his behalf?" He said: "Yes. "

"A man from Khath'am came to the Messenger of Allah and said: 'My father is an old man who cannot ride, and the command of Allah to perform Hajj has come. Will it be good enough if I perform Hajj on his behalf?' He said: 'Are you the oldest of his children?' He said: 'Yes.' He said: 'Don't you think that if he owed a debt you would pay it off?, He' said: 'Yes.' He said: 'then perform Hajj on…

A similar report was narrated from Shu'bah with the same chain.