The occupant was alerted to the fire by the smoke alarm.
"So he went back down and the fire was already in the curtains and going up into the ceiling so all they could do was get the children out."
Holmes says all the physical evidence from the scene also pointed to the fire beginning on the stove.
He says the fire is a timely reminder for people to never leave cooking unattended.
"Never leave anything unattended while you're cooking especially if you're using oil. It's imperative that somebody stays and keeps an eye on whatever is being cooked."
However, he praised the parents for getting everybody out safely.
Holmes says unattended cooking is a leading cause of house fires in New Zealand.
Meanwhile, Tainui Group Holdings has confirmed that they have found another house for the family and they will move into it "as soon as possible", a spokesman says.
"We're making that available so they've got somewhere to live."
The spokesman says they're also getting food together, on behalf of Waikato-Tainui, as they get themselves back on their feet.
"We're also organising a koha of a couple of weeks of groceries for the family too."
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