["Notes and Comments", The Sunday Times (Perth, WA), Sunday 20 May 1906, page 4]

...

The humiliation of William Johnson. Defeated by Perth-resident William Glowrey in William's very-own division of Hannans[sic]. His name is Plane Bill and not Political Billy henceforth.

...

AB notes:

The Sunday Times here makes another attempt to assign the nickname "Plane Bill" to William Johnson.