Hisham bin Urwah narrated from his father, from Aishah (may Allah be pleased with her), who said: I said: "O Messenger of Allah, all my companions have a kunyah; if only you would give me a kunyah too." He (peace and blessings be upon him) said: "Take your kunyah from your son (that is, your nephew) Abdullah bin al-Zubayr." So she continued to be called by the kunyah Umm Abdullah until she died.
Hadith Referenceالمعجم الكبير للطبراني / باب العين / 13820