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By Chelsea Bailey

A family that has gained grim fame by tweeting from besieged eastern Aleppo posted another chilling appeal late Thursday.

"We give up on life," mother Fatemah wrote. She later added a message signed by he 7-year-old daughter, Bana.

The family's tragic story has captivated social media watchers since they began tweeting dispatches from the front lines in September. As of Friday morning, their account had 195,000 followers.

On Sunday, the family posted that their home had been destroyed during the Syrian Army’s latest bombing campaign. Since then, posts to the family’s account have become even more desperate.

On Wednesday, they tweeted a direct appeal to President Obama and "the world," begging for help to get the family “far away from the battlefield.”

But it was the message shared Thursday that sent ripples of shock and sadness through their online community of supporters.

Related: Twitter Star Bana al-Abed 'On the Run' as Aleppo Attacks Worsen

“Never give up, sweet girl,” one woman tweeted. “We are here, we are listening,” another shared.

Earlier this week, Fatemah said she and her daughter had received death threats and were worried that they would soon be targeted by the Syrian Army because of their tweets.

A rescue worker for Syria Charity, a local relief agency, told NBC News earlier Thursday that the family was taking shelter in a home in East Aleppo, but was hesitant to say they are “safe” because the city is under such heavy bombardment.

Bana al-Abed

Their desperation mirrors the struggle of tens of thousands of Syrians caught between the front lines of the country’s civil war. An estimated 6 million Syrian children need humanitarian assistance and tens of thousands have been killed in the Syrian Civil War, according to UNICEF.

Related: 'More Than Hell': 'White Helmet' Describes Aleppo

At a meeting of the U.N. Security Council Wednesday, UNICEF Regional Director Geert Gappelaere echoed the family's appeal.

“In the worst affected areas, safe water is either scarce or costs too much,” he said. “In collective shelters or households hosting displaced families, toilets have to be shared with dozens of people and hygiene conditions are extremely poor.”

“Until the guns are silenced, and remain silent, children in Syria will continue to ask us, ask you why.”

Emmanuelle Saliba, Euronews contributed.