كتاب الحج
15  
The Book of Pilgrimage
(49)
Chapter: It is recommended to send the weak among women and others ahead from Al-Muzdalifah to Mina at the end of the night, before it gets crowded, but it is recommended for others to stay there until they have prayed Subh in Al-Muzdalifah
(49)
باب اسْتِحْبَابِ تَقْدِيمِ دَفْعِ الضَّعَفَةِ مِنَ النِّسَاءِ وَغَيْرِهِنَّ مِنْ مُزْدَلِفَةَ إِلَى مِنًى فِي أَوَاخِرِ اللَّيَالِي قَبْلَ زَحْمَةِ النَّاسِ وَاسْتِحْبَابِ الْمُكْثِ لِغَيْرِهِمْ حَتَّى يُصَلُّوا الصُّبْحَ بِمُزْدَلِفَةَ
Sahih Muslim 1290 c

'A'isha said:

I wish I had sought permission from Allah's Messenger (ﷺ) as Sauda had sought, and observed the dawn prayer at Mina and stoned at al-Jamra before the people had come there. It was said to 'A'isha (Allah be pleased with her): Did Sauda seek permission from him (the Holy Prophet)? She said: Yes. She was a bulky lady and so she sought permission from Allah's Messenger (ﷺ) (to proceed to mina from Muzdalifa ahead of him), and he granted her permission.
وَحَدَّثَنَا ابْنُ نُمَيْرٍ، حَدَّثَنَا أَبِي، حَدَّثَنَا عُبَيْدُ اللَّهِ بْنُ عُمَرَ، عَنْ عَبْدِ الرَّحْمَنِ بْنِ الْقَاسِمِ، عَنِ الْقَاسِمِ، عَنْ عَائِشَةَ، قَالَتْ وَدِدْتُ أَنِّي كُنْتُ اسْتَأْذَنْتُ رَسُولَ اللَّهِ صلى الله عليه وسلم كَمَا اسْتَأْذَنَتْهُ سَوْدَةُ فَأُصَلِّي الصُّبْحَ بِمِنًى فَأَرْمِي الْجَمْرَةَ قَبْلَ أَنْ يَأْتِيَ النَّاسُ ‏.‏ فَقِيلَ لِعَائِشَةَ فَكَانَتْ سَوْدَةُ اسْتَأْذَنَتْهُ قَالَتْ نَعَمْ إِنَّهَا كَانَتِ امْرَأَةً ثَقِيلَةً ثَبِطَةً فَاسْتَأْذَنَتْ رَسُولَ اللَّهِ صلى الله عليه وسلم فَأَذِنَ لَهَا ‏.‏
Reference : Sahih Muslim 1290c
In-book reference : Book 15, Hadith 324
USC-MSA web (English) reference : Book 7, Hadith 2960
  (deprecated numbering scheme)