Fifteen girls abused by gangs of men in Rotherham -- a declining steel and coal town with higher than average unemployment -- between 1997 and 2013 are reportedly claiming up to 100,000 pounds (125,000 euros, USD 165,000) each.
A report out yesterday estimated that some 1,400 children in the 250,000 population town had been sexually exploited.
Some victims were doused in petrol and threatened with being set alight, threatened with guns, made to witness violent rapes and threatened they would be next if they told anyone, it said.
The head of the local council, Roger Stone, resigned immediately after the publication of the report which detailed "blatant" failures including officials ignoring numerous reports of exploitation.
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Calls also grew today for the local police and crime commissioner Shaun Wright to step down as well -- including from Home Secretary Theresa May.
Wright was the local council member responsible for children's services in Rotherham from 2005 to 2010.
While she cannot force Wright to step down, May's intervention piles intense pressure on him to quit.
No council officers are facing disciplinary action over what happened.
David Greenwood of Switalskis Solicitors, who is acting for the 15 victims, said they were seeking compensation because local officials and police did not act to stop the abuse sooner.
"Rotherham Council and South Yorkshire Police missed clear opportunities to prevent the sexual exploitation of dozens of girls in Rotherham," he said.
The report said that "the majority of known perpetrators" were of Pakistani origin, including those convicted in 2010, but stressed there was "no simple link between race and child sexual exploitation.