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He served as member of the State house of representatives from 1883 to 1885 and as a state senator from 1885 to 1892. He served as member of the Republican State central committee and served as delegate to the Republican National Convention in 1888. He also served as Lieutenant Governor of Rhode Island from 1892 to 1894.
Bull was a charter member of the Rhode Island Society of Colonial Wars in 1897.
Bull was elected as a Republican to the Fifty-fourth and to the three succeeding Congresses (March 4, 1895 to March 3, 1903). He served as chairman of the Committee on Accounts (Fifty-sixth and Fifty-seventh Congresses).
He was an unsuccessful candidate for reelection in 1902 to the Fifty-eighth Congress.
This article incorporates public domain material from websites or documents of the Biographical Directory of the United States Congress.