'A'isha said, "I went to the Prophet, may Allah bless him and grant him peace, and said, 'Messenger of Allah, you give your wives kunyas, so give me a kunya.' He said, 'Take the kunya of your nephew, 'Abdullah.'"  

عَنْ عَائِشَةَ رَضِيَ اللَّهُ عَنْهَا قَالَتْ أَتَيْتُ النَّبِيَّ ﷺ فَقُلْتُ يَا رَسُولَ اللهِ كَنَّيْتَ نِسَاءَكَ فَاكْنِنِي فَقَالَ تَكَنِّي بِابْنِ أُخْتِكِ عَبْدِ اللهِ  

'A'isha said, "Prophet of Allah, will you not give me a kunya?" He said, "Use the kunya of your son," i.e. 'Abdullah ibn az-Zubayr. She was given the kunya Umm 'Abdullah.  

أَنَّ عَائِشَةَ رَضِيَ اللَّهُ عَنْهَا قَالَتْ يَا نَبِيَّ اللهِ أَلاَ تُكَنِّينِي؟ فَقَالَ اكْتَنِي بِابْنِكِ يَعْنِي عَبْدَ اللهِ بْنَ الزُّبَيْرِ فَكَانَتْ تُكَنَّى أُمَّ عَبْدِ اللهِ