Career
William Graham was elected to the Queensland Legislative Assembly for Darling Downs at a by-election on 23 March 1875. He held the seat until 26 November 1878 when he made a last minute decision to not contest the 1878 election. Graham was appointed to the Queensland Legislative Council on 5 August 1880.
Being a lifetime appointment, he served until his death on 7 June 1892.
Graham was buried in the Toowong Cemetery.