Al-Zahra (SA) (The Splendid One)
As it was reported in v. 10 of Bihar al-Anwar, Ibn Abbas narrated that Allah's Messenger said:
"Surely my daughter Fatima is: The Mistress of all women from the beginning to the end. She is part of me, and the light of my eyes, She is the flower of my heart, and is my soul, (Fatima) is a human huri, who whenever she stands in prayers in the presence of Her Lord (Exalted is His Name), her light illuminates the skies for the angels, like stars shine to people on Earth."
This narration clarifies the reason for which Fatima (A.S.) was given the name Zahra. There are other narrations, which mention that she had a bright and splendid face.
Lady Fatima (A.S.) had other titles and everyone of them reflected a virtue of noble trait which she enjoyed. Among those titles were: Al-Batoul, Al-Adhra (The Virgin), and Al-Hania (The Affectionate one to her children).
Fatima's favorite title was "Umme Abiha" meaning her father's mother.
* Taken from: Fatima (SA) The Gracious by Abu Muhammad Ordoni