Eunice L. Burns was born in 1923 and grew up on a farm in Caledonia, Minnesota. She attended La Crosse State Teachers College and became a physical education teacher. She and her husband Carl Burns had four children, and the family enjoyed camping and other outdoor activities. They were married for fifteen years before his tragic death in a sailing accident. Burns (D) represented the First Ward on the Ann Arbor City Council for six years (1962-68). She championed the Fair Housing Ordinance and the establishment of the Huron River Watershed Council. She passed away on October 20, 2016.

Eunice Burns was interviewed by students from Skyline High School in Ann Arbor in 2010 as part of the Legacies Project.