Versatile Sydney soul/jazz/blues singer Renée Geyer (1953-2003) was active from the early 1970s, working in Australia and America. See, for example, her career outline at Howlspace [archived].
Double-sided hit in Adelaide with the B-side, Once In A Lifetime Thing.
Suggestion from Mike Robbins.
"…and The Famous Flames"
Reissue (rerecording?) of 1964 single with a title now apparently echoing the title of the (unconnected) 1963 film It's A Mad, Mad, Mad, Mad World, according to The Originals website's page on It's A Man's World.
The Originals lists several other versions, including those by Big Maybelle (1966), Irma Thomas (It's A Man's Woman's World, 1966), Tom Jones (1968).