Abdullah b. Buraida (Allah be pleased with him) reported on the authority of his father: When we were sitting with the Messenger of Allah ﷺ, a woman came to him and said: I had gifted to my mother a maid-servant, and now she (the mother) has died. Thereupon he (the Holy Prophet) said: There is a definite reward for you and she (the maid-servant) has been returned to you as an inheritance. She (that woman) again said: Fasts of a month (of Ramadan) are due upon her;
should I observe them on her behalf? He (the Holy Prophet) said: Observe fasts on her behalf. She (again) said: She did not perform Hajj, should I perform it on her behalf? He (the Holy Prophet) said: Perform Hajj on her behalf.

وَحَدَّثَنِي عَلِيُّ بْنُ حُجْرٍ السَّعْدِيُّ، حَدَّثَنَا عَلِيُّ بْنُ مُسْهِرٍ أَبُو الْحَسَنِ، عَنْ عَبْدِ اللَّهِ، بْنِ عَطَاءٍ عَنْ عَبْدِ اللَّهِ بْنِ بُرَيْدَةَ، عَنْ أَبِيهِ، - رضى الله عنه - قَالَ بَيْنَا أَنَا جَالِسٌ، عِنْدَ رَسُولِ اللَّهِ ﷺ إِذْ أَتَتْهُ امْرَأَةٌ فَقَالَتْ إِنِّي تَصَدَّقْتُ عَلَى أُمِّي بِجَارِيَةٍ وَإِنَّهَا مَاتَتْ - قَالَ - فَقَالَ " وَجَبَ أَجْرُكِ وَرَدَّهَا عَلَيْكِ الْمِيرَاثُ " . قَالَتْ يَا رَسُولَ اللَّهِ إِنَّهُ كَانَ عَلَيْهَا صَوْمُ شَهْرٍ أَفَأَصُومُ عَنْهَا قَالَ " صُومِي عَنْهَا " . قَالَتْ إِنَّهَا لَمْ تَحُجَّ قَطُّ أَفَأَحُجُّ عَنْهَا قَالَ " حُجِّي عَنْهَا " .