It was 125F (52C) at Bourke, NSW on January 3, 1909, but that date is missing from the NOAA GHCND database.
05 Jan 1909 – GREAT HEAT WAVE. – Trove
https://www.ncei.noaa.gov/pub/data/ghcn/daily/all/ASN00048013.dly
January 3 was the hottest day of the month at Mount Isa, Queensland at 110F, but that is about 1,000 miles away from Bourke.
It was also the hottest day of the month at Alice Springs, half way across the country.
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