The records of St Margaret's Convent (the Ursulines of Jesus) are located at the Scottish Catholic Archives.
From various records, it is likely that information regarding her religious life can be provided and from the burial register maintained for the convent, she will likely be buried in the 'convent plot' either at the Grange cemetery or Mount Vernon.
If you live within reasonable distance of Edinburgh, your research would benefit from a trip to the Scottish Catholic Archives. If not, limited research can be carried out by Archive staff.