Police have still not determined the cause of the crash and a spokeswoman for Auckland Council said Auckland Transport will be working with the Police on the investigation.
Jane's father, Philip Devonshire, said speaking about the loss of his daughter was hard.
"Too young, far too young. She was a fun-loving, outgoing person.
"They need to do something about it. We need to know something will be done about it. This can't happen again."
He will be following the loss up with authorities and ACC, he said.
Sister Maria Douglas said she was dreading seeing the place where her baby sister took her last breaths.
It was time for Jane to "rest in peace", she said.
"When we started coming down the hill [to the crash site], I thought: 'I don't want to go any further'. But I had to. She was my sister.
"Rest in peace, I love you so much in my heart."
Residents spoke of three other vehicles - including a concrete mixer, car and another truck carrying a digger - that have careened over the edge of the bank in the last 30 years.
However, an Auckland Transport spokesman said there had been no crashes reported within a 50m radius of the Hebe Place and Kauri Road intersection in the past 20 years.
There may have been crashes which were not significant enough to involve the police.
Cousin Angela Pooley said Jane was taken from her family too soon when she was simply trying to do her job.
Jane was a popular, lively animal-lover who had big plans for the future, including a wish to travel to Fiji and own a horse one day.
"Anyone who met her absolutely loved her. She was like an angel on earth.
"I was looking down here and straight away now I can see how it happened. Something needs to be done. All she was trying to do is earn a living, do her job, and she gets crushed by a truck. This could have been avoidable."
Ms Pooley said something needed to change on the street to make it safe.
"What's stopping it from happening to someone else? No one else needs to go through this."
Jane's aunty Lorraine Johnson said going to the scene was hard for the tight-knit family.
"We came down to try and pay tribute to losing such a wonderful person, who had such a short life. We're going to miss her deeply. She was a beautiful person inside and out."
Jane was a rubbish truck runner for the Onyx Group - contracted by the Auckland Council to collect bags of rubbish from the steep area weekly.
Veolia, the company that owns Onyx Group, said in a statement the company had expressed its condolences to the family, friends and work colleagues of Jane.
"We are deeply shocked and saddened by the death of one of our employees," a spokesman said.
"This is a terrible accident and our thoughts are with her family, friends and co-workers at this very difficult time."
"Veolia is continuing to co-operate with police in their investigation into this terrible accident."
Acting Inspector Todd Moore-Carter said the Serious Crash Unit investigation will look at a number of factors in relation to the cause of the crash, including where Jane was when the crash occurred.
Hebe Rd resident Roy McKone rushed down the bank at the time of the crash and found the rubbish truck driver trapped inside the vehicle, calling out: "Where's the girl? Where's the girl?"
"Neither my neighbour or myself could see the girl. I had a look under the truck and saw absolutely nothing.
"It's just tragic."
Hebe Place resident Graham Lundie said the road had just been fixed by the council, after lobbying from residents, but a corner mirror would help the situation.
"It's a blind corner, you can't see. It's very slippery. The whole corner is in the shade."
The bush were the truck came to rest is privately-owned.
The owner, who asked not to be named, said she bought the land to protect the streams and bushlife.
It was "covented" against fencing but she there had been trouble with trespasses and vehicles going over the bank before, she said.
"We do sometimes find damage without actually knowing what happened," she said.
Two heavy haulage trucks today worked to remove the rubbish truck through heavy mud and bush. Winching it up so many metres took more than five hours.
Council waste solutions manager Ian Stupple said it could take several weeks until the cause of the accident was known, he said.
"It's certainly not something that's common across refuse and recycling systems.
"It's clearly a tragic situation," he said.
