The state legislature's canvass did not include the votes from El Dorado, Klamath, and San Bernardino counties. The Journal of the Assembly gives the totals as 53,119 for Walkup, 17,933 for Raymond, and 15,644 for Cheeseman.
Candidates' party affiliations obtained from the 9/19/1857 Placer Herald (of Auburn). https://www.cdnc.ucr.edu/?a=d&d=PH18570919.2.2&srpos=38&e=-------en--20--1--txt-txIN--------
Source for Popular Vote data: California State Archives, "For Lieut. Governor," Statement of the Votes Polled in the State of California, on the Second Day of September, A.D. 1857 (Sacramento, 1857)