Floods in Queensland Enormous Damage Sydney Morning Herald January 26, 1927
Weather chart The Sydney Morning Herald, Thursday 10 February 1927, page 13
Cyclone, Queensland Worst on Record Sydney Sydney Morning Herald February 12, 1927
"The cyclone is considered to be much more severe than that of 1918."
Update: 1893,1934,1967,1974 also notable for floods and cyclones in close succession:
See BOM's KNOWN FLOODS IN THE BRISBANE & BREMER RIVER BASIN and
Historical Impacts Along The East Coast
UPDATE 2 Jo Nova links to a 2001 study published in Nature that captures the longer term perspective.