Whoever died without performing Hajj and without leaving a will concerning Hajj
Question:
If a man died and he did not appoint anyone to perform Hajj for him, is the obligation removed from him if his son performs Hajj for him?
Answer:
If his Muslim son who has already performed Hajj for himself, performs Hajj on his behalf, that removes the obligation from him. The same applies if someone from the Muslims who have already performed Hajj for themselves, other than his son, performs Hajj for him. This is due to what has been confirmed in the two Sahihs from Ibn Abbas -may Allah be pleased with him- that a woman said, O Messenger of Allah, verily the obligation of Allah upon his servants came upon my father, and he is an extremely old man. He is not able to perform Hajj or make the journey shall I perform Hajj on his behalf? The Prophet Sallallahu alaihi wasallam said: Yes, perform Hajj for him. Concerning this subject there are other Hadiths that prove what we have mentioned.
Source:
Shaykh `Abdul-`Azeez Bin Baz
Fatawa Islamiyah Darussalam Vol: 4 p. 70