Tasmania Police is offering a $500,000 reward for information that would help investigators find Darlene Avis Geertsema who disappeared from her Devonport home in 1978.
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It came as Ms Geertsema's daughter, Kathryn Gray, 51, pleaded with anyone with any information to speak to police about her caring mother.
Ms Geertsema, 30, was last seen leaving her family home in Best Street, Devonport around 10pm on Monday, October 23, 1978.
She was in a 1977 red Holden Sunbird registered number AS4119.
The vehicle was found locked and abandoned on the morning of October 25, 1978, on Victoria Parade.
An inquest into the circumstances surrounding her disappearance will start in the Launceston Magistrates Court on December 13.
A case management conference in October was told that Ms Geertsma's then-partner John Shepherd, of Westbury, was a person of interest.
He has been bailed to reappear. Coroner Simon Cooper was told Mr Shepherd found the car before making a missing person's report.
Counsel assisting Madeleine Wilson said there was evidence Mr Shepherd was "verbally and physically" violent towards Ms Geertsema on the night of her disappearance.
Detective Sergeant Felicity Boyd believes that the $500,000 reward for information could be life-changing for someone.
"Someone out there knows exactly what happened to Darlene that night," she said.
"Whilst we have canvassed alternate explanations for her disappearance, we have not been able to find Darlene and we need help from the public to uncover the truth and bring her home," she said.
Ms Geertsema was a mother of six children. Her four eldest daughters were living in Queensland at the time of her disappearance while the two youngest, Kathryn and Ryan, were in Tasmania.
Ms Gray is calling on anyone with information about what happened to her mother to come forward.
"It was out of character for my mum to leave ... she wouldn't have walked out on us for sure, I know that in my heart," she said.
"I remember my mum as a caring person, always collecting different animals. She always used to brush my hair every night before bed. I had very long hair, and she used to do the 100 strokes. I spent a lot of time with mum cooking," Ms Gray said.
"We were her world ... she would never have walked out [for us to] never hear from her again ... she would have never left me and my brother."
She said the impact of losing her mother at such a young age had been devastating, especially missing milestone life events such as weddings and the birth of children.
"It would have been nice to celebrate with her. It's really hard because your mum is your best friend," she said.
"We are fighting for answers. She is somewhere, and [to know where she is] would bring closure to us so we can get on with our lives.
"I know it's 43 years ago, but we're begging anyone with information to come forward.
You might think it's trivial - but if anyone they can remember anything please come forward and help us to get closure.
- Kathryn Gray
An investigation into Ms Geertsema's disappearance was carried out in 1978 but police were unable to locate her and could not ascertain a motive for her disappearance.
There have been no confirmed sightings of her since Monday, October 23, 1978, and her body has never been found.
Detective Sergeant Boyd said that a review of the circumstances surrounding the disappearance commenced in July 2013.
"As a result of detectives re-interviewing witnesses and obtaining fresh information, new evidence established that Darlene's relationship with her then de facto partner was characterised by family violence and that a verbal and physical altercation took place the night she disappeared," she said.
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Detective Sergeant Boyd said the disappearance would remain under investigation until Ms Geertsema's body was found or the person or people responsible for her disappearance were brought to justice.
"We have explored several scenarios to explain her disappearance and whilst we maintain an open mind into the circumstances, we do not believe she left the family home voluntarily," she said.
"We have conducted extensive investigations and it has become increasingly apparent that Darlene is more than likely deceased and that she died in very suspicious circumstances.
"We owe it to Darlene's family to find the answers behind her disappearance and someone out there holds the last piece of this puzzle."
Anyone with information can remain anonymous by calling Crime Stoppers on 1800 333 000 or by reporting it online at crimestopperstas.com.au.
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