Rathmore
There was a Rathmore Cycle Works in Victoria in 1906. It is possible that they are responsible for the brand listed by Simon Fleming.
See Australian Motorcycle Dealers
Regnis 1912-1920
Relay 1905 (NSW)
Rival
A 3½ h.p. racing machine built by N. Saunders in 1905.
Saunders, the winner, thoroughly deserved his luck. He rode a Rival motor, manufactured by himself, and by his victory last Saturday, has the unique record of annexing four first prizes and one second out of five attempts...
The following is the result, with the start and riding time of the successful competitors:
N. Saunders, 3½ Rival, start 3m, riding time 50m 30s... 1
J. Jarman, 2¾ Jarman, start 11m, time 1h 15m 10s... 2
J. Doherty, 4½ Buchet, scratch, time lh 17m... 3
A. J .Powell, 4 h.p. Surrey, 8m start, time lh 18m 22s... 4
The Sydney Morning Herald Mon 27 Nov 1905
Motorcycle Racing NSW (1905)
Source: Trove NLA
Rolfe 1914-1915 (Vic.)
Rollert (Vic.)
The Rose (Shepparton, Vic.)
Rosenthal
Built in Renmark, South Australia. Advertised in 1913 only.
"COME WATCH IT BEING BUILT.
Your ROSENTHAL Cycle
Or your ROSENTHAL Motor Cycle.
ROSENTHAL, the Cycle & Motor Manufacturer."
Renmark Pioneer, Fri 30 May 1913
Source: Trove NLA
Rarer Australian Marques