Friends of Laura said she had suffered bullying in the past

Laura Rhodes, 13, of Cimla, Neath, was discovered by her parents after taking a suspected overdose with her best friend.

Rebecca Ling, 14, of Longbridge, Birmingham, survived the apparent suicide pact on 6 September.

She has now been questioned by officers about the incident.

Detective Inspector Stuart McKenzie of South Wales Police said: "We have conducted extensive inquiries into the death of Laura Rhodes and are satisfied that there are no suspicious circumstances surrounding the death.

Bullied

"South Wales Police would like to offer their sincere condolences to Laura's family and friends at this sad time."

Laura and Rebecca disappeared from Birmingham, after spending a summer holiday together in Greece.

They were driven home by the police who had found her in a bed and breakfast hotel in Bath after three days on the run.

After the girls met online last year they began e-mailing and text messaging each other every day, and spent weekends together.

After her funeral Laura's parents Yvonne and Michael Rhodes released a letter written by her which was found after her death.

In it Laura described her misery and heartache of being bullied at school.

The girls met online in 2003 and sent text messages to each other

Hilton Dawson MP, who chairs the parliamentary group on children, has called for a legal duty for those working with children to protect them from bullying.

"The establishment of a `Laura's law' would be a fitting tribute to my daughter. Even though it comes too late for her," Mr Rhodes has said.

But pupils at Cefn Saeson Comprehensive School, in Neath have denied it has a bullying problem.

Its student council issued a joint statement: "An image has been created of our school in the past few weeks. It is one we do not recognise" it said.

"We the pupils of this school who know it best are here to set the record straight. We also hope to ease the frustration of many of our fellow pupils at the false and unjust impressions created by the media."