The couple’s two children, aged 2 and 6, were in the home at the time of the shootings and were not harmed.
Barbara Haines, 34, worked as a nurse at the Mahatma Gandhi Memorial Hospital while her partner, Zane Smith, was self-employed.
Reaction Unit SA spokesperson Prem Balram said: “When we arrived, we found the woman in the kitchen. Her partner was found in the passage. Both had sustained gunshot wounds to the head,” he said.
Phoenix police are investigating a case of murder and an inquest docket has been opened.