Tasmanian Oak is a very common timber in Australia and is used for a lot of furniture and flooring. The vast majority of it is quite plain, but more spectacular curly sections are quite special. The timber gets marketed under all sorts of names here, eg. Tasmanian Oak, Victorian Ash, Mountain Ash and Tasmanian Eucalyptus etc. I think that the first three are actually slightly different species; however the difference would only be relevant to a botanist and certainly not a woodworker. If you look at the burlsdownunder site, what is described as “Curly Eucalypt†is almost certainly Tasmanian Oak too.
I remember reading somewhere that there is around 600 different eucalypts in Australia, so always expect confusion! Especially as similar looking trees get entirely different common names from state to state.
As Bob says, the Myall will be an acacia which is almost certain to be a glorious timber. Here in Western Australia, the most commonly used Myall for craft work is “Western Myall†(Acacia papyrocarpa) which is a very hard but beautifully coloured and figured timber. I’d be surprised if many acacias ever got big enough to form burls worth collecting, what you may have is the root ball.