"Oh my God, I just can't believe it," she said. "If that's what has happened, if he's gone under there like that, I just can't believe it."
Her grandson was a "very, very clever little boy" who was "bubbly" and loved computer games, she said.
"He was full of joy and bounce."
The boy's uncle, who asked not to be named, said the "happy little guy's" fifth birthday was approaching and he had spent his short life in the Camberley community.
Hastings Mayor Lawrence Yule said he understood the driver had left the tractor to tell the children to leave the area he was mowing before the boy was run over.
"It's an absolute tragedy. A mum and dad's son has been taken away from them.
"We will investigate what happened and see what things need to be done to prevent something like this ever happening again.
"I will be making contact with the boy's family. Obviously this is the worst possible thing that could ever happen to a family and the parents of the young boy."
Mr Yule said the tractor driver was "very, very shaken up" and he and his wife would be offered counselling and support.
"It's a tragedy for the boy, his family, the driver, the driver's family and council staff."
A local kaumatua blessed the site as family members and friends of the boy stood in disbelief before police began their investigations.
Mr Kirkby would not comment on whether charges would be laid against the driver.
The council and Ministry of Business, Innovation and Employment's labour department are also investigating.