It is narrated from Sayyiduna al-Fadl bin Abbas (may Allah be pleased with him) that a woman from the tribe of Khath'am asked the Prophet (peace and blessings be upon him) a question while al-Fadl was riding behind him. She said: O Messenger of Allah! The obligation of Hajj that Allah has placed upon His servants has come upon my father while he is a very old man; even if he were tied onto his mount, he could not hold steady. Shall I perform Hajj on his behalf? He (peace and blessings be upon him) said: "Yes, perform Hajj on his behalf."
Hadith Referenceالمعجم الكبير للطبراني / باب الفاء / 15812