Quoirin's family arrived August 3 for a two-week stay at the Dusun, a small resort located in a durian orchard next to a forest reserve 63 kilometers (39 miles) south of Kuala Lumpur.
A tweet from Lucie Blackman Trust, the UK-based charity organisation that has been providing support to Nora's family during SAR efforts here, also acknowledged reports of a body being found, but explained they are now seeking clarification.
Matthew Searle, chief executive of the Lucie Blackman Trust, said the discovery "was absolutely devastating for the family who have obviously lived in hope that a better outcome was on it's way".
Nora's family believe that it's possible that she was abducted from their cottage.
The French foreign office said: "We have learned with great sadness of the passing of the young Nora Quoirin in Malaysia".
Her cause of death has not yet been confirmed and Malaysian police said a post-mortem examination began on Wednesday morning.
Mrs Quoirin reached out in a statement describing her as "a special person" who is "fun, amusing and extremely loving" as the frantic search for Nora continued, adding: "She is not like other teenagers".
A tape recording of Nora's mother with the heart-wrenching message: "Nora darling, I love you, Mum is here", was also played over megaphones in the jungle in an attempt to find Nora in case she had got lost.
Appearing in front of the cameras on Monday, a visibly emotional Mrs Quoirin said: "Nora is our first child".More news: US gov’t introduces new rules restricting legal immigration
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She has a condition called "holoprosencephaly", which means she has a smaller-than-normal brain, and has limited verbal communication and can not write more than a few words.
After Nora went missing, her family described how she was particularly vulnerable.
"We are very certain", said Mazlan Mansor, Malaysia's deputy police chief, when asked if police were sure the body was that of the missing girl.
The Daily Mirror reports that the location of Nora's body "raised questions" about why she had not been spotted before. Mrs Quoirin, 45, held back tears during a statement in which she said the family's "hearts are breaking" without her.
Irish premier Leo Varadkar tweeted: "They have experienced every family's worst nightmare".
"Nora would not know how to get help and would never leave her family voluntarily", the teen's aunt wrote, noting the girl's learning disabilities.
Police said the teenager, who was travelling on an Irish passport, was believed to have climbed out of her resort room window.
The search involved more than 300 personnel including from the National Crime Agency (NCA), the Metropolitan Police and the Malaysian police.
On August 11, Malaysian police set up a hotline dedicated to receiving information about Nora and two days ago a £10,000 reward, donated by an anonymous Belfast business, was announced for information leading to Nora's safe return.