Narrated Ibn `Abbas: A woman from the tribe of Juhaina came to the Prophet (peace be upon him) and said, “My mother had vowed to perform Hajj but she died before performing it. May I perform Hajj on my mother’s behalf?” The Prophet (peace be upon him) replied, “Perform Hajj on her behalf. Had there been a debt on your mother, would you have paid it or not? So, pay Allah’s debt as He has more right to be paid.”
28 Penalty of Hunting while on Pilgrimage
Hadith number 1852
Volume no 3
Chapter: 22 (To perform Hajj on behalf of a dead person. A man can perform Hajj on behalf of a woman)