Buuxi weedhan soo socota: Sanadkii 1871, Stevenson wuxuu ka adkaaday Thomas C. McCreery kursiga uu ku fadhiyo Senate-ka Mareykanka ka dib markii uu dhaleeceeyay McCreery oo lagu eedeeyay inuu taageeray magacaabista Stephen G. Burbridge, oo ay neceb yihiin inta badan Kentuckians, booska federaalka. Golaha Guurtida, wuxuu ka soo horjeestay hagaajinta gudaha wuxuuna difaacay aragti dhismeedka dastuurka, isagoo ka hor istaagay dadaallada lagu ballaarinayo awoodaha si cad loogu siiyay dukumintigaas. Laga soo bilaabo dabayaaqadii 1873, Stephenson wuxuu u shaqeeyay guddoomiyihii ugu horreeyay (oo markii dambe loo yaqaan hoggaamiyaha dabaqa) ee golaha Senate Democratic caucus. Ma uusan dooneynin in dib loo doorto 1877, isagoo ku soo laabtay shaqadiisa sharciga wuxuuna aqbalay Gudoomiyaha Kentucky ee mustaqbalka William Goebel inuu noqdo lammaane sharciga ah. Wuxuu shir guddoomiyay
1880 Shirweynihii Qaranka ee Dimuqraadiga waxaana loo doortay madaxweynaha Ururka Qareenada Mareykanka 1884. Wuxuu ku dhintay Covington bishii Ogosto 10, 1886, waxaana lagu aasay qabuuraha Spring Grove ee Cincinnati, Ohio.