Hajar
No. The Qur’an relates events connected to Ibrahim and Isma'il, but the name Hajar is not explicitly mentioned in the Quranic text; her story is preserved in the Seerah and classical Muslim historiography.
Hajar comes from the Arabic root h‑j‑r (هجر) meaning 'to leave' or 'to emigrate'; in onomastic terms it is associated with migration or departure.
Yes. Hajar is widely accepted and used respectfully across Muslim cultures because of its association with a prophetic-era matriarch in Islamic tradition.
Hajar is central in the Seerah narrative tied to the well of Zamzam and the Sa'i between Safa and Marwah, episodes that are remembered in the Hajj and Umrah rites.
Variants like Hajira, Hajrah, or the Anglicized Hagar appear in different linguistic contexts; Urdu and Bengali often keep the classical Arabic form Hajar (هاجر).