31/05/2016 2:33 PM AEST | Updated 15/07/2016 12:53 PM AEST

Man Accused Of Murdering Partner And Two Kids Doesn't Apply For Bail

The children's grandmother has spoken of her heartbreak.

The man charged with the murder of a South Australian woman and her two children has not applied for bail during a court hearing.

Steven Graham Peet, 30, was charged with the murder of Adeline Yvette Rigney-Wilson and two of her children on Monday.

The ABC reports he appeared at Elizabeth Magistrates Court on Tuesday, where no details of the allegations were given in open court.

The bodies of Rigney-Wilson, 29, a six-year-old girl, and a five year old were found at a home in Hillier, about hour from Adelaide's CBD, on Monday.

On Tuesday morning, Rigney-Wilson's mother, Donna, told The Advertiser her heart was torn between grief and fury following the shock discovery of three bodies on Monday.

"Adeline was beautiful, she was so beautiful," she said.

"The human feeling, the emotion, is I want revenge but I can't do that.

"It's in the good Lord's hands."

Peet was last night taken into police custody and charged with three counts of murder.

Police investigators, including forensic officers, were examining the home overnight and on Tuesday.