Baxter's husband, Tauranga-born man and former Bay of Plenty rugby player Rowan Baxter, died on the footpath near the vehicle with self-inflicted stab wounds after allegedly dousing his family in petrol.
The deaths of three children and their mother in a auto fire in the Australian city of Brisbane have sparked outrage, amid reports they were killed by the father, ex-rugby player Rowan Baxter.
A woman looks on with her baby next to the scene of a auto fire which claimed the lives of a man and his three children in Brisbane.
"The investigation is in its infancy, so it's very important for us to recognise that there are other family members and people known to our victims that need to be spoken to by police and notified of the incident in an appropriate manner", Thompson said.
The couple's Integr8 fitness website described Ms Baxter as "an enthusiastic, passionate mother of three".
"I heard the initial explosion, and came running out", he told 9News.
He said he called triple zero, and did not see anyone run from the auto, which was engulfed in flames.
A wing or centre, Rowan Baxter trained with the Warriors in 2005 and was selected for their pre-season match against the Parramatta Eels, but did not feature in an NRL competition game.
Queensland Police Minister Mark Ryan raised the incident in state parliament describing it as a "terrible tragedy".
"On arrival police and emergency services have identified five people that were involved in the fire".
The man reportedly rushed to the car to try and free the family trapped inside
A man known to the children also died inside the vehicle, while a woman known to the children has suffered extensive injuries.
Officials at the scene on Wednesday, discovered a burned vehicle in Brisbane.
Nine News reporter Jordan Fabris has been at Camp Hill all morning and tells Ray Hadley he's never seen as many detectives at a crime scene before.
Police says it's too early to say if the incident which saw three children and a man die and a woman injured is a murder-suicide.
Lachlan Amore, 18, has lived in the area his whole life and said the incident was frightening.
"Today is a very sad day", he said.
Emergency services were called to the incident at Camp Hill since about 8.30am, where a burnt-out auto remains in the middle of Raven Street.
"Mr Speaker, my thoughts are with all those affected by this bad tragedy", he added.
If it is an emergency and you feel like you or someone else is at risk, call 111.
Readers seeking support can contact Lifeline crisis support on 13 11 14, Suicide Call Back Service on 1300 659 467, 1800RESPECT on 1800 737 732 and Kids Helpline on 1800 55 1800 (for young people aged 5 to 25).