She lived in Chelsea prior to attending Lillsden School for Girls and then Benenden School. In 1968 she spent some time working for Richard Branson's Student magazine. She went on to graduate from St Anne's College, Oxford University.
Spicer was a founder member and executive of Virago Press. She was Chair of the National Lottery Commission and has been Chair of the Friendly Almshouses, Brixton. She was a lay member of the Judicial Appointments Commission from 2006 until 2012.
- "Student days with Richard Branson". The Daily Telegraph. London. 2001-03-21. Retrieved 2008-08-31.
- Bown, Jane (1999-10-17). "National portraits". The Observer. London. Retrieved 2008-08-31.
- "Lottery race gets fresh start". BBC News. 2000-10-06. Retrieved 2008-08-31.
- "Appointment of Commissioners to the Judicial Appointments Commission". number10.gov.uk. 2006-01-23. Retrieved 2008-08-31.
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