[2] She attended Farnham Girls' Grammar School, before her father moved the family to Sydney, when she was 15 in April 1965, upon his appointment as Head of Drama at the Australian Broadcasting Corporation.
However, she is best remembered in Australia for her role as Clarissa "Clancy" Merrick in Skippy the Bush Kangaroo, in which she appeared in the first two series and 48 episodes.
Goddard was one of the 'explorers' who were 'evaporated' in a (now missing) episode of the BBC science fiction quiz programme The Adventure Game (1980), played a space pirate in the Doctor Who story Terminus (1983), and appeared in Roll Over Beethoven (1985), opposite Nigel Planer.
For many years, she was also the female team leader on the long-running quiz/panel show Give Us A Clue, replacing Una Stubbs in the role.
[citation needed] She later had a recurring role as Philippa Vale in Bergerac (featuring in four series between 1984 and 1989) and alongside Dawn French and Catherine Tate in Wild West (2002).
In 2012 she had a cameo role in the all-star comedy film Run for Your Wife, and in 2013 she toured with the official Agatha Christie Theatre Company in Go Back for Murder, an adaptation of the book Five Little Pigs.
In July 2023 Goddard was announced as taking the role of Dotty Otley in a national tour of Michael Frayn's farce Noises Off, directed by Lindsay Posner, following its run at the Phoenix Theatre, London.
[11] In 2004, Goddard was locked in a giant kennel along with MPs Paul Burstow, Evan Harris and Ivan Henderson and BBC Newsround presenter Lizzie Greenwood, TV presenter Liz Bonnin and DJ Becky Jago in a stunt to launch the annual RSPCA Week to raise awareness and funds.