Eben Rhoades would die in office on September 9, 1869. Christopher C. Batterman was appointed to fill the vacancy on September 15, 1869 and served the remainder of the term.
Source for Popular Vote data: Nevada State Archives, "State Treasurer," Canvass of Votes Cast at the General Election held in the State of Nevada on the 6th day of November, A.D. 1866 (Carson City, 1866)