Rubuta ci gaba ga wannan sakin layi - A 1871, Stevenson ya ci nasara da Thomas C. McCreery don kujerarsa a Majalisar Dattijan Amurka bayan ya soki McCreery saboda zargin da ake yi na goyon bayan Stephen G. Burbridge, wanda yawancin mutanen Kentucky suka ƙi, zuwa matsayi na tarayya. A majalisar dattijai, ya yi adawa da ci gaban cikin gida kuma ya kare ra'ayin gina tsarin mulki, yana tsayayya da kokarin fadada ikon da aka bayar a cikin wannan takaddar. Da farko a ƙarshen 1873, Stephenson ya yi aiki a matsayin shugaban farko (daga baya aka kira shugaban kasa) na majalisar dattijai na Democratic. Bai nemi sake zaben a 1877, ya koma aikinsa na doka kuma ya yarda da Gwamna Kentucky William Goebel a matsayin abokin tarayya. Ya jagoranci taron kasa na Jam'iyyar Democrat na 1880
kuma an zabe shi shugaban kungiyar lauyoyi ta Amurka a 1884. Ya mutu a Covington a ranar 10 ga Agusta, 1886, kuma an binne shi a Spring Grove Cemetery a Cincinnati, Ohio.