It was narrated from Ibn 'abbas that: 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.
It was narrated from Ibn 'Abbas: (Another chain) with a similar report narrated from Ibn 'Abbas. (sahih)