Narrated 'Abdullah: (the slave of Asma') During the night of Jam', Asma' got down at Al-Muzdalifa and stood up for (offering) the prayer and offered the prayer for some time and then asked, "O my son! Has the moon set?" I replied in the negative and she again prayed for another period and then asked, "Has the moon set?" I replied, "Yes". So she said that we should set out (for Mina), and we departed and went on till she threw pebbles at the Jamra (Jamrat-Al-'Aqaba) and then she returned to her dwelling place and offered the morning prayer. I asked her, "O you! I think we have come (to Mina) early in the night". She replied, "O my son! Allah's Messenger ﷺ gave permission to the women to do so".
The values taught by this Hadith include obedience towards Allah's commands, being mindful of prayer times even while travelling, taking care not miss any obligatory prayers due to one's circumstances or environment and seeking permission from Allah's Messenger ﷺ before doing something new or unusual related with religious matters.