Giesbrecht was arrested outside her home in the Maples neighbourhood and charged with six counts of concealing the body of a child in October.
The disturbing discovery was made by employees at a U-Haul facility when the workers were trying to clean out the locker because rental payments had not been made.
Giesbrecht has also been accused of defrauding Employment and Income Assistance and a payday loan company.
Court will also hear Wednesday when the judge will decide if an independent pathologist will be allowed to view the rest of the autopsies.
Also at issue in the case is the age of the infants' remains. If the autopsies can show the babies were born alive, murder charges could be laid.
Giesbrecht has been in custody since shortly after the discovery of the infants' remains in October.
The hearing Wednesday starts at 10 a.m. CT.
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