أَخْبَرَنَا أَحْمَدُ بْنُ سُلَيْمَانَ، قَالَ حَدَّثَنَا يَزِيدُ، - وَهُوَ ابْنُ هَارُونَ - قَالَ أَنْبَأَنَا هِشَامٌ، عَنْ مُحَمَّدٍ، عَنْ يَحْيَى بْنِ أَبِي إِسْحَاقَ، عَنْ سُلَيْمَانَ بْنِ يَسَارٍ، عَنِ الْفَضْلِ بْنِ عَبَّاسٍ، أَنَّهُ كَانَ رَدِيفَ النَّبِيِّ صلى الله عليه وسلم فَجَاءَهُ رَجُلٌ فَقَالَ يَا رَسُولَ اللَّهِ إِنَّ أُمِّي عَجُوزٌ كَبِيرَةٌ وَإِنْ حَمَلْتُهَا لَمْ تَسْتَمْسِكْ وَإِنْ رَبَطْتُهَا خَشِيتُ أَنْ أَقْتُلَهَا ‏.‏ فَقَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم ‏"‏ أَرَأَيْتَ لَوْ كَانَ عَلَى أُمِّكَ دَيْنٌ أَكُنْتَ قَاضِيَهُ ‏"‏ ‏.‏ قَالَ نَعَمْ ‏.‏ قَالَ ‏"‏ فَحُجَّ عَنْ أُمِّكَ ‏"‏ ‏.‏

It was narrated from Al-Fadl bin 'Abbas that: he was riding behind the Messenger of Allah and a man came and said: "O Messenger of Allah! My mother is an old woman and she cannot sit firmly in the saddle. If I tie her I fear that I may kill her." The Messenger of Allah said: "Don't you think that if your mother owed a debt you would pay it off?" He said: "Yes." Her said: "Then perform Hajj on behalf of your mother."(Shih) Translation Not Available

Book Ref: Sunan An Nisai Book 24 Hadith 2643
Web Ref:  Sunan An Nisai Vol 3 Book 24 Hadith 2644