Joy Shiers, the mother of Prestatyn fire victim Lee-Anna Shiers, has told reporters: "We're overjoyed that we've got justice."
She added: "We want to say thank you to everyone who has supported us and helped us through this horrible time."
The family say they want to 'get on with normal life' following the verdict, adding: "Our angels would want us to carry on."
Neighbour Melanie Smith will be sentenced next month after being found guilty of five counts of murder.
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Philip Thomas was a 10-year-old pupil at Pantglas Junior School in Aberfan when a coal tip collapsed and slid downhill.
ITV News speaks to Jeff Edwards - who was eight years old when he became the last survivor to be pulled from the rubble.
Until 21st October 1966, Aberfan was a place that most of the world had never heard of.