Sayyiduna Ibn Abbas (may Allah be pleased with them both) says: A woman from Khath'am asked the Messenger of Allah (peace and blessings be upon him) on the Day of Sacrifice (Yawm al-Nahr), while Fadl (may Allah be pleased with him) was riding behind him (peace and blessings be upon him): The obligation of Hajj that Allah has placed upon His servants has reached my father while he is old and cannot stay steady on a camel; what is your view, may Hajj be performed on his behalf? He (peace and blessings be upon him) said: "Yes."
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الحج / 8629