[2] In the early 1950s Jack O'Brien began training female wrestlers, including Irma Morales, in his gym in León, Guanajuato.
[2] On February 28, 1955, González defeated La Dama Enmascarada to win the Mexican National Women's Championship, becoming the second overall champion.
[4] The rivalry between González and La Dama Enmascarada led to the first decisive Lucha de Apuestas ("betting match") in Mexico, 18 years after the first one took place.
[5][6] The match saw González defeat La Dama, forcing her to unmask and reveal her real name as required by the rules, making her the first woman to do so in Mexico.
[10] It is unclear for how long she was retired, but records indicate that Irma González lost the Mexican National Women's Championship to Chabela Romero on an Empresa Mexicana de Lucha Libre (EMLL) show in Guadalajara, Mexico.
[11] At EMLL's Carnaval de Campeones show, Chabela Romero successfully defended the women's championship against Irma González.
[11] On May 25, 1980, González defeated US-born Vicky Williams to win the Universal Wrestling Association's Women's World Championship for the first time.
Later that year women's wrestling was allowed in Mexico City once more, bringing González and others back to the nation's capital.
[13] The mother/daughter duo held the championship for 497 days, until December 20, 1991, when the team of Martha Villalobos and Pantera Sureña defeated them for it.