Police discovered the woman’s body on 26 March Police investigating the murder of Sian O’Callaghan have identified human remains found at a second site as Becky Godden from Swindon.
Miss Godden, who went missing eight years ago, would have turned 29 years old on Monday.
Officers had scoured national databases in a bid to work out who was buried at Eastleach in Gloucestershire.
Taxi driver Christopher Halliwell, 47, from Swindon, has been charged with 22-year-old Miss O’Callaghan’s murder.
Det Supt Steve Fulcher, of Wiltshire Police, said officers had developed a DNA profile from the bones that were recovered at Eastleach.
He said Miss Godden’s family and loved ones were trying to come to terms with the “devastating” news.
She was reported to the national Missing People’s Helpline in 2007 by her family when they became concerned by the lack of contact from her, he said.
“Inquiries are continuing to establish the circumstances surrounding Becky’s disappearance and subsequent death,” he said.
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