Jessop was born to Herman Jonah and Erica Lily (Small) Lloyd-Jones in Sydney, New South Wales. She married her first husband antiques dealer, Peter Jessop, in London in 1952, with whom she adopted her daughter, Pandora.
Living in New York in the late 1950s she worked as an actor in off-Broadway productions. Her first screen role was as the ghost of Miss Jessel in The Innocents (1961), based on Henry James's The Turn of the Screw and starring Deborah Kerr. She appeared only in long shot. Francis had been cinematographer for The Innocents; he later directed Jessop in two minor horror roles for Hammer and Amicus, respectively: Nightmare (1964) and Torture Garden (1967).
Following the arrest on obscenity charges of OZ magazine’s Richard Neville and Jim Anderson in 1971, she held a benefit exhibition called Ozjects D’Art featuring works by David Hockney among others.
1969 saw her marry Australian writer Peter Smalley, author of a series of historic naval novels about HMS Expedient.
Her younger sister, Hermia Sappho Lloyd-Jones (1931-2000) married artist David Boyd.
- "Artist, actor and influencer in swinging London". The Sydney Morning Herald. 14 June 2017. Retrieved 13 June 2017.
- Morgan, Joyce. "Up yours, Britannia". www.smh.com.au. Sydney Morning Herald. Retrieved 10 April 2017.
- Totaro, Paola (20 September 2008). "Clapton's Aussie mate recalls wild London". The Melbourne Age. Retrieved 10 April 2017.
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