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 1293 b

Ibn 'Abbas (Allah be pleased with them) reported:

I was among those (i. e. women and children) whom Allah's Messenger (ﷺ) sent forth with the weak members of his family.
حَدَّثَنَا أَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ، حَدَّثَنَا سُفْيَانُ بْنُ عُيَيْنَةَ، حَدَّثَنَا عُبَيْدُ اللَّهِ بْنُ أَبِي، يَزِيدَ أَنَّهُ سَمِعَ ابْنَ عَبَّاسٍ، يَقُولُ أَنَا مِمَّنْ، قَدَّمَ رَسُولُ اللَّهِ صلى الله عليه وسلم فِي ضَعَفَةِ أَهْلِهِ ‏.‏
Reference : Sahih Muslim 1293b
In-book reference : Book 15, Hadith 331
USC-MSA web (English) reference : Book 7, Hadith 2966
  (deprecated numbering scheme)