A woman accused of murdering her ex-wife in Adelaide’s south has been granted home detention bail.

However, Anastasia Marshall will not be released from custody, because prosecutors have asked the Supreme Court to review the decision.

Ms Marshall, 29, from Para Hills West, appeared via video link in the Adelaide Magistrates Court today and, along with a man, has been charged with murder over the death of Krystal Marshall.

The 38-year-old mother was found dead at the scene of a house fire on Barracoota Crescent at Aldinga Beach on October 20.

Anastasia Marshall has denied the charges.

Magistrate Kate White granted home detention bail after determining there were “no substantial” safety concerns for the public, and no risk of Anastasia Marshall absconding.

She said Ms Marshall faced a “substantial period of time” in custody while awaiting future hearings.

The police prosecutor has asked for the decision to be reviewed in the Supreme Court.(ABC News: Che Chorley)

A police prosecutor argued the gravity of the alleged offending and the likelihood of interference meant that Ms Marshall was not a good candidate for bail.

The prosecutor asked for the decision to be reviewed by the Supreme Court.

Outside the court, Ms Marshall’s lawyer Nicholas Vadasz said he hoped the Supreme Court would not overturn Magistrate White’s decision.

“Today was a wise and just decision and I’m hopeful that a Supreme Court justice will see the same,” he said.

Mr Vadasz said the case against his client was weak, and that granting bail was appropriate despite the seriousness of the charges.

The bail conditions imposed on the accused include not consuming alcohol or drugs, and a requirement to pay a $1,000 bail surety.

The matter will be heard within the next 72 hours.