It was narrated from Al-Fadl bin 'Abbas, that:

He was riding behind the Messenger of Allah ﷺ, when a man came and said: "O Messenger of Allah, my mother is an old woman; if I put her on a mount she cannot sit firmly, and if I tie her, I fear that I may kill her." He said: "Do you think that if your mother owed a debt you would pay it off for her?" He said: "Yes." He said: "Then perform Hajj on behalf of your mother."

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