Cora Eliza Smith Eaton King (September 7, 1867 – November 21, 1939) was an American suffragist, physician and mountaineer.

She also represented the state at the annual National American Woman Suffrage Association meeting in January 1896 and would later serve as the organization's second auditor twice.

She joined the American Association of Orificial Surgeons as it was one of the first medical organizations that would allow women and practice homeopathic medicine.

Smith trained with Edwin Hartley Pratt and performed female circumcisions on women suffering from chronic conditions such as headaches and epilepsy.

In 1907, she became the first woman to summit the East Peak of Mount Olympus, and she eventually climbed all six of Washington's major mountains.

In 1909, she was responsible for carrying a pennant that read "Votes For Women" to the summit of Mount Rainier on a Mountaineers expedition.