It was reported that when Zainab Bint Ali Bin Abi Talib (pbuh) was born, the Messenger of Allah (pbuh) was informed about that. Thus, the Master of Prophets (pbuhp) went to the house of
Fatima Al-Zahraa (pbuh) and said to her:” O daughter! Bring me your newborn daughter.” So, when she brought her, he took her, embraced her to his chest and put his All-Beautiful cheek on her
cheek and wept loudly and his tears poured on the beauty of his face. Thus, Fatima (pbuh):” Why are you weeping? May Allah never let your eyes weep, O father?!” So, he (pbuhp) said:” O daughter!
O Fatima! Know that this daughter, after you and me, shall suffer from adversities and many tragedies and afflictions.” The narrator said:” At that moment, Fatima (pbuh) cried and said:” What
rewards will those who cried over her and over her affliction have?” The Messenger of Allah (pbuhp) said:” O part of me and the apple of my eye! Whoever cries over her and over her adversity
shall have as the reward of those who cried over her brothers and then he named her Zainab.”
Mosnad Fatima Al-Zahraa p.298,