Henry Gunderson would resign on October 16, 1937 after being appointed to the State Tax Commission. Herman Ekern was appointed to fill the vacancy on May 16, 1938 and served the remainder of the term.
Source for Popular Vote data: Wisconsin Board of State Canvassers, "Lieutenant Governor," Statement of Board of State Canvassers Election of State Officers November 3, 1936 (Madison, 1936)