Kunyah (Filial Title):

Hazrat ‘Uthmaan (radhiyallahu ‘anhu) was first given the kunyah “Abu ‘Abdillah” on account of his son, Hazrat Abdullah (radhiyallahu ‘anhu). Thereafter, Hazrat ‘Abdullah (radhiyallahu ‘anhu) passed away. The next son of Hazrat ‘Uthmaan (radhiyallahu ‘anhu) was Hazrat ‘Amr (radhiyallahu ‘anhu). Hence, Hazrat ‘Uthmaan (radhiyallahu ‘anhu) was next given the kunyah “Abu ‘Amr” by which he was famously known until the end of his life. (Istee‘aab 3/155)

Mother:

The respected mother of Hazrat ‘Uthmaan (radhiyallahu ‘anhu) was Hazrat Arwaa bint Kuraiz (radhiyallahu ‘anha). (Siyar A’laam min Nubalaa 2/566)

Demise of Hazrat ‘Abdullah (radhiyallahu ‘anhu):

Hazrat ‘Abdullah (radhiyallahu ‘anhu), the son of Hazrat ‘Uthmaan (radhiyallahu ‘anhu) from Hazrat Ruqayyah (radhiyallahu ‘anha), passed away in the year 4 A.H. at the age of six. (Usdul Ghaabah 3/216)

A rooster had pecked Hazrat ‘Abdullah (radhiyallahu ‘anhu) in his eyes, causing him injury. It was on account of this injury that he fell ill and passed away. Rasulullah (sallallahu ‘alaihi wasallam) performed his janaazah salaah after which Hazrat ‘Uthmaan (radhiyallahu ‘anhu) descended into the grave to bury him. This was in the month of Jumaadaa-Oolaa of the year 4 A.H. (Tabaqaat Ibn Sa’d 3/39)