There are 4 "MOTH" burials at Carr Villa Cemetery in Launceston (Hilda, George, Bethia & Edward) but none 'recent'. I have checked Mersey Vale (Devonport), Cornelian Bay, Kingston, and Eastern Shore (East Risdon) but no luck.
Try searching at this site:
http://www.ozgenonline.com/aust_cemeteries/tas/index.htm