CNN affiliate ITV News reported that Begum's family had received a letter from the Home Office that said an order to remove her citizenship had been made.
A reporter for the BBC spoke to a paramedic working for the Kurdish Red Crescent who said that the baby...
Begum left London with her two school friends in 2015 to join the so-called Islamic State in Syria, where she has lived with her husband, a Dutch IS fighter, for the last few years.
It was in reaction to the minister's decision to revoke 19-year-old Begum's British citizenship on security grounds, indicating that she would have the right to acquire Bangladeshi citizenship by virtue of her parents' heritage.
The reports about Miss Begum's child came as it was announced that 100 people have died over the past two months on the way to the camp or shortly after arriving, two thirds of whom were babies and infants.
Mr Akunjee announced earlier on in the month that Miss Begum had relocated from Al-Hol to another area near the border with Iraq after getting death threats from other Daesh brides in the camp for showing her face on camera and speaking to the global media.
After Ms Begum was stripped of her citizenship, her family wrote to the home secretary to say they planned to challenge the decision and asked for assistance to bring her baby to the UK.
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Ms Begum is now believed to be in a refugee camp closer to the Iraqi border after being removed from the Al-Hol camp in the north of Syria due to alleged threats.
Begum's lawyer Mr Akunjee said: "I confirm that it is our understanding that Shamima has been moved from Al-Hol due to safety concerns around her and her baby".
Begum and her newborn son, thought to be called Jarrah, had been living at a refugee camp in Syria.
"Shamima Begum returned to the internment camp and her son was buried there".
Shamima Begum pictured in a photo held by her sister.
Begum and her child had been moved from the Al-Hol refugee camp at the start of this month after allegedly receiving death threats from other jihadi brides.
"Inside Syria, whether in a camp or maybe somewhere else, there is no British consular presence".