On January 25, 1870, in the Forty-first Congress, Segar claimed an at-large ninth seat for Virginia in the U.S. House, but was not seated.
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Segar presented credentials as a Unionist Member-elect to the Thirty-seventh Congress from an election held on October 24, 1861, but the House on February 11, 1862, decided he was not entitled to the seat.
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Segar was an unsuccessful Republican candidate for election in 1876 to the Forty-fifth Congress.
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In the Thirty-eighth Congress (1863–1865), no Virginia representatives were seated.
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