It is narrated from Sayyiduna Ibn Abbas (may Allah be pleased with them both) that a woman from the tribe of Khath'am said: "O Messenger of Allah! The obligation of Allah regarding Hajj has reached my father while he is a very old man; he cannot hold himself steady on a mount. Shall I perform Hajj on his behalf?" He (peace and blessings be upon him) said: "Yes, perform Hajj on behalf of your father."
Hadith Referenceالمعجم الكبير للطبراني / باب الفاء / 15825