Her mother, father and all four of her siblings died after the quake hit the town of Jindayris.
The newborn was then taken by a distant relative, Khalil al-Suwadi, to paediatrician Dr Hani Marouf in the Syrian city of Afrin.
https://twitter.com/AJEnglish/status/1623348213318123520
"She arrived on Monday in such a bad state, she had bumps, bruises, she was cold and barely breathing," said Dr Marouf.
He explained tha Aya’s mother, Afraa Abu Hadiya, probably gave birth to the girl and then died a few hours before they were discovered.
“We named her Aya, so we could stop calling her a new-born baby,” he was quoted as saying to
The Guardian.
She has since been named Aya, the Arabic word for miracle, and is in a stable condition in hospital.
The story of her rescue made headlines around the world, and thousands have taken to social media to offer to adopt the baby girl.
"I would like to adopt her and give her a decent life," said one person.
A Kuwaiti TV anchor said, "I'm ready to take care of and adopt this child... if legal procedures allow me to."
“I wish someone knew how to reach the child. I am ready to adopt her and take care of her until the last minute of my life,” tweeted Paulina Queralt, a Lebanese singer living in France.
And hospital manager Khalid Attiah, says he has received dozens of calls from people all over the world wanting to adopt baby Aya.
But Dr Attiah, who himself has a daughter just four months older than her, has said he won't be letting anyone adopt her anytime soon.
He said: "I won't allow anyone to adopt her now. Until her distant family return, I'm treating her like one of my own."