[2] Mushet was born on December 22, 1860, in Manchester, England and immigrated to San Francisco, California in 1886.

[1] Mushet unsuccessfully ran in the November 1909 Los Angeles mayoral election against fellow Republican and incumbent George Alexander, placing third against Republican challenger George A.

[4][5] Mushet ran again in the 1911 Los Angeles mayoral election against incumbent Alexander and Socialist challenger Job Harriman, where he did not make the runoff as well although he was endorsed by the Democratic Central City Committee.

[6][7] In 1921, he won a seat on the Los Angeles City Council for what was the at-large district.

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