These cards are in the style of the Ottmar Zieher stamp cards, but have a different layout of the stamps. They bear the caption "Sold in aid of the Sanatoria Home for Consumptive Women".  David Cook, in "Picture Postcards in Australia 1898-1920" says these were published in 1905, with seven cards in the set. I have only seen the Tasmanian card, but presumably the other six cards show stamps of the other Australian states.  I have not been able to find out where the Sanatoria Home was, but it seems not to have been in Tasmania.