Daughter of Enzo Snidero and Liliana Maiarli, Licia moved to Australia with her family in 1954. She completed her secondary education at Hadfield High School, the Council of Adult Education and University High School and her tertiary education at the University of Melbourne, where she completed a Bachelor of Arts (Hons) in 1984.
Before her entry into the Victorian Parliament she worked as an Equal Opportunity Project Officer.
She married Leszek Kokocinski on 23 May 1970 and had three children, two sons and one daughter.

Sources used to compile this entry: Neto, Maryanne (researcher) (ed.), Who's who in Australia 1998, 38 edn, Information Australia Group Pty Ltd, Melbourne, 1997, 1720 pp.