Oliver and her comedy partner Lorna Watson met at Tiffin Girls' School in Kingston upon Thames.

She appears in the film Angus, Thongs and Perfect Snogging as Miss Stamp, and in early 2009 could be seen in Channel 4's sitcom Plus One.

[4] In 2010, Oliver played Mimi Throckmorton in Material Girl on BBC One, alongside Lenora Crichlow and Dervla Kirwan.

She reprised the role in the episodes "Death in Heaven",[6] "The Zygon Invasion", and "The Zygon Inversion"; UNIT, an audio drama spinoff series produced by Big Finish Productions; and Doctor Who: Redacted, a BBC radio drama spin-off series.

Her grandfather, Eric Gideon, was a D-Day veteran who died in 2017, shortly after receiving the Légion d'Honneur for his service to France during the war.