Narrated Buraidah:
A woman came to the Messenger of Allah ﷺ and said: I donated my slave-girl to my mother, but she died and left the slave-girl. He said: Your reward became due, and she came back to you in inheritance. She said: She died while a month's fasting was due from her. Would it be sufficient or be taken as completed if I fast on her behalf ? He said: Yes. She said: She also did not perform Hajj. Would it be sufficient or be taken completed if I perform (Hajj) on her behalf ? He said: Yes.

حَدَّثَنَا أَحْمَدُ بْنُ يُونُسَ، حَدَّثَنَا زُهَيْرٌ، حَدَّثَنَا عَبْدُ اللَّهِ بْنُ عَطَاءٍ، عَنْ عَبْدِ اللَّهِ بْنِ بُرَيْدَةَ، عَنْ أَبِيهِ، بُرَيْدَةَ أَنَّ امْرَأَةً، أَتَتْ رَسُولَ اللَّهِ ﷺ فَقَالَتْ كُنْتُ تَصَدَّقْتُ عَلَى أُمِّي بِوَلِيدَةٍ وَإِنَّهَا مَاتَتْ وَتَرَكَتْ تِلْكَ الْوَلِيدَةَ . قَالَ " قَدْ وَجَبَ أَجْرُكِ وَرَجَعَتْ إِلَيْكِ فِي الْمِيرَاثِ " . قَالَتْ وَإِنَّهَا مَاتَتْ وَعَلَيْهَا صَوْمُ شَهْرٍ أَفَيُجْزِئُ - أَوْ يَقْضِي - عَنْهَا أَنْ أَصُومَ عَنْهَا قَالَ " نَعَمْ " . قَالَتْ وَإِنَّهَا لَمْ تَحُجَّ أَفَيُجْزِئُ - أَوْ يَقْضِي - عَنْهَا أَنْ أَحُجَّ عَنْهَا قَالَ " نَعَمْ " .