Edwin Waite was technically not the incumbent on election day (November 6, 1894), having died in office the week prior (October 30th). However, he had actually not been renominated by the Republican party, so Lewis Brown was not a replacement candidate.
Source for Popular Vote data: California Secretary of State. California Blue Book, or State Roster, 1895, California Secretary of State (https://babel.hathitrust.org/cgi/pt?id=mdp.39015041451207&view=1up&seq=314) (accessed 15 Dec 2023)