Do you know anything else about family of your Benjamin?Do you know state of birth for those first two children, Lavelle and Horace?Here is a "possible" match from 1880 census, White Oak, Franklin Co, AR:
Categories: Name;Relationship to head of household; Marital Status; Gender; Race; Age; Birthplace; Occupation; Father's Birthplace; Mother's Birthplace.
Benjamin R. BRADLEY1SelfMMaleW27TNFarmerKYVA Nannie BRADLEY2WifeMFemaleW19ARKeeping HouseVAAR Sarah BRADLEY3MotherWFemaleW57VAAt HomeMAVA C. J. BRADLEY4BrotherSMaleW19TXFarmingKYVA
From age of Nannie, I would say they are recently married, and haven't had children, yet.If you think this could be your Benjamin, then he didn't medically treat Jesse in 1880.Jesse and Frank, with their families, were living in TN under the names of Woodson and Howard.As you learn more about Benjamin, do a time line for him, and then one for Jesse.You could see if Ben was anywhere near Jesse at any given time.(^_^)