Burnham was born on November 6, 1911, in
Toronto. She began her career at the
Royal Ontario Museum (ROM) in Toronto, Canada, in 1929, at the age of 17, as a second assistant draftsman. In 1939, she became the museum's first
curator of textiles, taking responsibility for a growing international collection begun by founding director
Charles Trick Currelly. She took courses at the
Cranbrook Academy of Art and the
Banff School of Fine Arts and studied museum practices in Europe. In 1944 she married Harold B. Burnham and over the next sixty years, either independently or in conjunction with Harold, carried out research on Canadian and global
textiles and costume. Inspired by a donation of a Canadian coverlet, the couple in 1947 launched a research project on the history of Canadian handweaving, traveling to interview weavers and study looms and collections, first throughout Ontario, and then in all the eastern provinces, leading to the 1971 exhibition and publication
Keep Me Warm One Night: Early Handweaving in Eastern Canada (1972). From 1949 to 1973, Burnham took leave from the museum to raise her family and to operate, with Harold, a private weaving enterprise called Burnham&Burnham, located in the
Niagara Peninsula. ==Later career==