Allyson McConnell is shown here in an undated photo.

An Alberta woman accused of killing her two sons was ordered to undergo a 30-day psychiatric assessment Tuesday after a provincial court judge granted a request by her lawyer.

Allyson McConnell, 31, 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 by their father, Curtis McConnell, in their house in Millet, Alta., on Feb. 1.

McConnell's lawyer, Peter Royal, appeared before a provincial court judge in Wetaskiwin on Tuesday morning to ask for the assessment, citing his client's "fragile" state.

McConnell was to be remanded Tuesday to Alberta Hospital, a psychiatric facility in northeast Edmonton. Her next court appearance is scheduled for May 6.

McConnell has been in hospital for a number of injuries she sustained on the day the boys' bodies were discovered.

Edmonton police said 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 but 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.