Hi Merlin & Johngirl,
Thank you both for the information you have provided and the time taken to research these documents. Surprisingly, I too have come across these documents.
In response to to Merlin's question as to why I think Elizabeth may have been buried in Sydney is as I have not been able to find any record of her burial in Tasmania. I have spoken with the Tasmanian Archive service "Linc" and they have confirmed this. They also hold a book called "Inscriptions in Stone" by Richard Lord which lists all the headstones lined across the wall of St. David's Park in Hobart (formerly known as St. David's cemetery which was one of the earliest cemetries in the colony) and her name is not listed, nor is there any record of her grave being relocated to Cornelian Bay cemetery when the city council took ownership of the land.
'Cottage Green' where Elizabeth and her husband Dr. William Richardson resided had a small cemetery, although, I don't believe Elizabeth may have been buried there as the residence was sold shortly after her death and her husband made a quick exit from the colony bound for Glasgow with their daughter Fanny. So if anything, Elizabeth may have been buried in Sydney en route to the motherland as their sons resided there; the eldest being William Wright Richardson who worked for the large shipping firm Messrs Gilchrist, Watt & Co. which introduced a lot of Scottish immigrants into the colony before he went on to become a successful grazier with his brother Tottenham Lee Richardson whom I am a direct descendant of.
Also, the trip to the United Kingdom was a long journey so I suspect her body may not have been returned for burial.