She acted as a consultant to the 1977 Australian Law Reform Commission into Aboriginal Customary Laws which considered whether it was desirable to apply Aboriginal customary law to Aboriginals. The Commission"s report outlined Aboriginal customary laws were not generally recognised by general Australian law, yet were a significant influence on Aboriginal people. The report recommended that Aboriginal people should have the final say in the recognition of customary law.
Hammond was appointed by the Whitlam Government to the Australian National Advisory Committee on International Women"s year (1975).
In 1980, Hammond advocated for a treaty which recognised Aboriginal sovereignty. Speaking as representative for the Aboriginal Land Rights Support Group, Hammond argued "we are the national minority.
lieutenant is a treaty between two nations. The government must agree and recognise that we were here first".
In 1988, she ran in a by-election for the seat of Portuguese Adelaide, becoming the first indigenous South Australian to do southern
In 1990, Hammond was appointed Head of the Aboriginal Issues Unit for the Royal Commission into Aboriginal Deaths in Custody. Hammond served as Aboriginal Coordinator for the South Australian Department of Arts and Cultural Heritage from 1991 to 1993. In 1991, she joined with singer Archie Roach to publicly demand an inquiry into the Stolen Generations.
In 2002 an artwork recognising Hammond"s contributions to the advancement of indigenous Australians was included in Reconciliation Place, Canberra.
The electoral district of Hammond in South Australia is named in recognition of her contributions. Her name is also inscribed on the Portuguese Adelaide Workers Memorial.
At the age of 32 she became a member of the Council of Aboriginal Women and was active throughout the 1970s and 1980s in the pursuit of equal rights for Aboriginal people including professional roles at the Aboriginal Legal Rights Movement, the Department of Personnel and Industrial Relations and the National Australian Women"s Consultative Council.