It was narrted from Ibn ‘Abbas (رضي الله عنه) that

A woman from Khath’am asked the Prophet (ﷺ) during the Farewell Pilgrimage, when al-Fadl bin ‘Abbas was seated behind the Messenger of Allah (ﷺ) on his mount: O Messenger of Allah, Allah has made Hajj obligatory upon His slaves when my father is an old man and cannot sit firmly in the saddle; can I do Hajj on his behalf? He said: "Yes, do Hajj on behalf of your father.”