Canberra-based Kate Goodchild, her brother Luke Dorsett and his partner Roozi Araghi, along with New Zealand-born Cindy Low were killed when the raft they were on at Dreamworld flipped on Tuesday.
They were on the raft with Mrs Goodchild's daughter Ebony, 12, and Ms Low's son Kieran, 10, when the accident occurred.
The two children were thrown clear of the ride and survived - something Assistant Police Commissioner Brian Codd said was "almost a miracle that anybody came out of that".
Mr Goodchild was holding baby Evie and watching the raft almost come to a stop when the unthinkable happened.
Mrs Turner said the family was "devastated and inconsolable" for its loss in what "can only be called a devastating and horrific disaster".
Reading from a prepared statement, she said: "My son and Kate were childhood sweethearts and [she] will be missed incredibly."
Mrs Turner thanked Virgin Airlines for its offer to fly Mrs Goodchild and her brother Luke Dorsett back to Canberra, and the emergency services for their "sensitivity" during the "disaster", reported Seven News.
Mr Goodchild's father Graham told News Corporation on Wednesday night his son was so distraught he couldn't even speak about what happened after he returned home to Canberra with Ebony and baby Evie.
"They haven't even told us completely what happened but I know there are very traumatised children coming back home."