In 1984 she moved to England to work on the animated film adaptation of Raymond Briggs' When the Wind Blows. Following this, she worked in a variety of illustration and office jobs and continued making short stories for anthologies such as Strip AIDS and Heartbreak Hotel. During this time she was briefly involved in an obscenity trial when Knockabout Comics was prosecuted by the UK's customs agency over the importation of 'pornographic' comics, including her Fresca Zizis. The verdict was that all the comics should be confiscated and burned; Fresca Zizis was made illegal to possess in the UK.
Gebbie was briefly married to California poet Adam Cornford in 1984. Their relationship inspired Cornford's poetry collection Animations (San Francisco, City Lights, 1988). Gebbie married Alan Moore on 12 May 2007.