Absolutly save her the stress and also ask her to use a funeral service recomended by your embbasy 'AsiaOne' was the one I eventually chose, to to do all the paperwork involved and bring your remains back from BKK autopsy, coffin included in their price.
I recently had to deal with a friend who died and belive me it is not easy. Dealing with the Hospital, Police, & Amphur, two trips to BKK, retrive all docs. required, back to Amphur to register Death, back to BKK, coffin etc they do it all, even pick up clothes to dress him before putting you in the coffin, on first trip, delivered to the Wat of choice. Asia One were very professional.