ᵻlˈɛktᵻd tə kˈɑːŋɡɹəs æz ɐ ɹᵻpˈʌblɪkən tə fˈɪl ðə vˈeɪkənsi lˈɛft baɪ ðə dˈɛθ ʌv wˈɪljəm dˈiː. kˈɛli, ɹˈeɪbɜːn wʌz ɹiːᵻlˈɛktᵻd θɹˈiː tˈaɪmz ænd sˈɜːvd fɹʌm fˈɛbɹuːˌɛɹi ˈeɪtiːn, wˈʌn θˈaʊzənd ˈeɪthˈʌndɹɪd nˈaɪnti, tə mˈɑːɹtʃ θɹˈiː, wˈʌn θˈaʊzənd ˈeɪthˈʌndɹɪd nˈaɪnti sˈɛvən, ʌntˈɪl hiː wʌz ɐn ʌnsəksˈɛsfəl kˈændᵻdˌeɪt fɔːɹ ɹᵻnˌɑːmᵻnˈeɪʃən ɪn wˈʌn θˈaʊzənd ˈeɪthˈʌndɹɪd nˈaɪnti sˈɪks.
Elected to Congress as a Republican to fill the vacancy left by the death of William D. Kelley, Reyburn was reelected three times and served from February 18, 1890, to March 3, 1897, until he was an unsuccessful candidate for renomination in 1896.