A woman has died while giving birth at a central Queensland hospital that is already under investigation following the death of a baby and the injury of three others last year.

The coroner is investigating the death of the woman during an elective caesarean at Rockhampton Base Hospital.

The hospital's maternity unit is already under review after four serious incidents in 2015.

In the latest incident, a woman died after being booked in for her first birth on Monday.

Friend Teagan Jacqueline Govaars, who has set up a fundraising account for the family, said the couple had been filled with happiness and excitement to meet their first child.

"Until everything took a turn for the worst," she said.

Rockhampton Base Hospital in the central Queensland city of Rockhampton. ( ABC News: Giulio Saggin )

"This day was supposed to be one of the best and happiest days of their lives and instead she has now left her beloved husband and brand new baby girl behind."

Central Queensland Health Service chief executive Len Richards said a preliminary review had not indicated any deficiencies in treatment, but he would not confirm any specifics of the case.

Grant Burton from the Queensland Nurses Union said "his heart sank".

"Incidents have occurred within the maternity unit of the Rockhampton Hospital so certainly there was some concern there," he said.

Latisha Ryder from Maternity Choices Australia said they were worried about the standard of care mothers were receiving at the hospital.

"I think women probably have every right to be concerned," Ms Ryder said.

One baby died and three babies suffered serious injuries during childbirth last year and the Central Queensland Hospital and Health Service has ordered an independent review to try to prevent such events occurring again.

Independent review underway

Queensland Health Minister Cameron Dick said mothers could be assured the Rockhampton Base Hospital was providing appropriate care.

"I've got confidence in the capacity of the hospital and health service to deliver safe and effective birthing services to the community," he said.

He said the Government would listen to any findings from the inquest or recommendations from the independent review.

"We want to learn any lessons that might come from that incident, if there are lessons to be learned," he said.

"I support having a look at clinical practices around [the care of] those four children — [but] this is a separate incident — it relates to the mother, not the child.

"The hospital will start its own root cause analysis, as happens with any adverse event in a hospital.

"Then the coroner will make recommendations and if there are any recommendations we'll look at that."