From my readings of the Jerauld Co history, and various SD histories, she is the "Dr. Nettie C. Hall."
She sounds like a pretty amazing lady. What happened to her later in life? I will post two links, I don't know
if you have come across them, but they may provide some background.http://files.usgwarchives.net/sd/jerauld/newspapers/pressnot...http://genforum.genealogy.com/hall/messages/20929.html
She is also briefly mentioned in the SD section of "Winning the West for Women: The Life of Suffragist Emma Smith DeVoe" by Jennifer M. Ross-Nazzal. (It's a neat read)