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Curtis and Allyson McConnell are shown with their sons, Connor and Jayden, in this undated photo.

An Alberta woman accused of killing her two sons has completed a psychiatric assessment on whether she can be held criminally responsible for her actions.

The report was presented Thursday at a court hearing in Wetaskiwin, south of Edmonton, but was not made public. A member of the defence team for Allyson McConnell requested time to review it. 

McConnell, who is from Australia, had been ordered on April 6 to undergo a 30-day psychiatric assessment after a provincial court judge granted a request from her lawyer for the exam, citing his client's "fragile" state.

The 31-year-old is charged with two counts of second-degree murder in the deaths of her sons, Jayden, 10 months, and Connor, 2½.

The boys were found dead on Feb. 1 by their father, Curtis McConnell, in their house in Millet, a town about 40 kilometres south of Edmonton.

The boys' parents were in the midst of a divorce and custody battle, according to court documents obtained by CBC News.

The documents show that Curtis and Allyson McConnell, who got married in Australia in January 2007, separated in November 2009 and began divorce proceedings in December.

McConnell, who was ordered to be remanded in April to Alberta Hospital, a psychiatric facility in northeast Edmonton, didn't appear in court Thursday.

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Connor and Jayden McConnell are shown here on a Facebook memorial site. ((Facebook))

The boys' father and his family did attend the court hearing.

Allyson McConnell earlier spent time in hospital with injuries she sustained on the day the boys' bodies were discovered.

A woman tried to kill herself by jumping off an overpass in the south end of the city an hour before the boys' bodies were found, Edmonton police said, but they have never confirmed the woman's identity.

RCMP said a car connected to the McConnell's Millet home was found in a nearby parking lot.

The case has been put over to Aug. 17.