Morisset was a pupil of Georges-Émile Tanguay. In 1964, she and her husband were awarded the Prix Calixa-Lavallée. In 1981, she and her husband were made Members of the Order of Canada in recognition of having "contributed to" Canada's "musical life by attracting attention to the works of Canadian composers-works that were composed especially for them-and through their participation in various cultural organizations". In 1985, they were promoted to Officer. In 1994, they were made Knights of the National Order of Quebec.