Alberton Falls is an enormously tall waterfall that tumbles over a number of large drops into a deep gorge. At the time of writing, we had only been able to reach the top of the falls, where the view is pretty limited. The cliffs around here are extremely crumbly and unstable, and there is no obvious route to clamber lower down and get a better view.
The route to the top of Alberton Falls starts on Mathinna Plains Road at a point roughly due east from the waterfall, and passes through some nasty scrub as well as gorgeous rainforest. There is no actual track though, and only some sparsely placed ribbons hint at human interference here, so a GPS is required. The times and information on this page reflect this route to the top of the falls.
There may be a ridge providing a safe route into the gorge, however an entire day would need to be allocated to exploring this as an option. It may also be possible to get a view of Alberton Falls from the Stemys Ridge area across the gorge, although there may be vegetation obstructing the view from here.
Finally, Alberton Falls is seasonal, being located on a small creek draining part of the Mathinna Plains, so to make any explorations worthwhile wait for heavy rain.