The story
Possibly a reference to the Chloe mentioned in the poetry of Matthew Prior. * Australian vernacular usage (reported by Partridge and others) is influenced by, and often thought to refer to, the well-known nude painting Chloé, which was hung briefly (in 1883) at the National Gallery of Victoria, and later (from 1908) at the Young and Jacksons hotel, Melbourne.
Etymology from Wiktionary, CC BY-SA 4.0.