Sahih Muslim Book 7, Hadith Number 2961.

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.

A Hadith like this has been narrated by ‘Abd al-Rahman b. al-Qasim with the same chain of transmitters.