Sahih Muslim Book 7, Hadith Number 2967.

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.

This Hadith has been transmitted by Ibn ‘Abbas (Allah be pleased with them) with a slight variation of words.