Sahih Muslim Book 7, Hadith Number 2966.

Chapter : It is excellent that the aged and the weak, especially among the women, should hasten from Muzdalifa to Mina at the latter part of the night before the people moving in multitude. and excellence of staying there for others until they observe the dawn prayer at Muzdalifa.

Ibn ‘Abbas (Allah be pleased with them) reported: I was among those (i.e. women and children) whom Allah’s Messenger (may peace be upon him) sent forth with the weak members of his family.