Sahih Bukhari Volume 3, Book 28, Hadith 1855

حَدَّثَنَا مُوسَى بْنُ إِسْمَاعِيلَ، حَدَّثَنَا عَبْدُ الْعَزِيزِ بْنُ أَبِي سَلَمَةَ، حَدَّثَنَا ابْنُ شِهَابٍ، عَنْ سُلَيْمَانَ بْنِ يَسَارٍ، عَنِ ابْنِ عَبَّاسٍ ـ رضى الله عنهما ـ قَالَ جَاءَتِ امْرَأَةٌ مِنْ خَثْعَمَ، عَامَ حَجَّةِ الْوَدَاعِ، قَالَتْ يَا رَسُولَ اللَّهِ إِنَّ فَرِيضَةَ اللَّهِ عَلَى عِبَادِهِ فِي الْحَجِّ أَدْرَكَتْ أَبِي شَيْخًا كَبِيرًا، لاَ يَسْتَطِيعُ أَنْ يَسْتَوِيَ عَلَى الرَّاحِلَةِ فَهَلْ يَقْضِي عَنْهُ أَنْ أَحُجَّ عَنْهُ قَالَ ‏"‏ نَعَمْ ‏"

Narrated By Ibn 'Abbas : A woman from the tribe of Khath'am came in the year (of ,Hajjat-ul-wada' of the Prophet) and said, "O Allah's Apostle! My father has come under Allah's obligation of performing Hajj but he is a very old man and cannot sit properly on his Mount. Will the obligation be fulfilled if I perform Hajj on his behalf?" The Prophet replied in the affirmative.