"The Prophet allowed Sawdah to leave Jam (Al-Muzdalifah) before dawn because she was a heavyset woman. (Using translation from Nasāʾī 3037)  

إِنَّمَا أَذِنَ رَسُولُ اللهِ ﷺ لِسَوْدَةَ بِنْتِ زَمْعَةَ «فِي الْإِفَاضَةِ قَبْلَ الصُّبْحِ مِنْ جَمْعٍ لِأَنَّهَا كَانَتِ امْرَأَةً ثَبِطَةً»  

"I wished that I had asked the Messenger of Allah for permission as Sawdha did, so that I could pray Fajir in Mina before the people came. Sawdah was heavyset woman, so she asked the Messenger of Allah for permission, and he gave her permission to pray Fajir in Mina and stone the before the people came.'" (Using translation from Nasāʾī 3049)  

«وَدِدْتُ لَوْ أَنِّي اسْتَأْذَنْتُ رَسُولَ اللهِ ﷺ كَمَا اسْتَأْذَنَتْهُ سَوْدَةُ فَصَلَّتِ الْفَجْرَ بِمِنًى قَبْلَ أَنْ يَأْتِيَ النَّاسُ كَانَتْ سَوْدَةُ امْرَأَةً ثَقِيلَةً ثَبِطَةً فَاسْتَأْذَنَتْ رَسُولَ اللهِ ﷺ فَأَذِنَ لَهَا فَصَلَّتِ الْفَجْرَ بِمِنًى وَرَمَتْ قَبْلَ أَنْ يَأْتِيَ النَّاسُ»  

I wish I had also sought permission from Messenger of Allah ﷺ as Sauda had. sought permission from him. 'A'isha did not proceed but with the Imam. (Using translation from Muslim 1290b)   

كَانَتْ سَوْدَةُ امْرَأَةً ضَخْمَةً ثَبِطَةً فَاسْتَأْذَنَتْ رَسُولَ اللهِ ﷺ أَنْ تُفِيضَ مِنْ جَمْعٍ بِلَيْلٍ فَأَذِنَ لَهَا قَالَتْ عَائِشَةُ فَلَيْتَ أَنِّي كُنْتُ اسْتَأْذَنْتُ رَسُولَ اللهِ ﷺ كَمَا اسْتَأْذَنَتْهُ سَوْدَةُ