In the second 1982 general election, held on the 24th of November 1982, Nan Joyce stood as an independent candidate in Dublin South-West, becoming the first Traveller to do so. She polled 581 votes.
Joyce was co-chairperson of the Committee for the Rights of Travellers, which had been formed earlier that year. Among her policies was a call for full civil and human rights for all Travellers as full Irish citizens and a Minister to co-ordinate Traveller welfare provision in the country.
You can read an account of the Committee and the background to its formation in this article: Traveller Activism in the 1980s: The Committee for the Rights of Travellers and Mincéir Misli.