On the 1880 Pulaski Co, Mound City census there is a Hudson family Wm & Emily, Lewis, Millie, with a stepson "Benjamin Kane" he is 14 and b. in Indiana.
The name may have been spelled wrong on the census.
On the Vanderburgh County, Indiana (where these Hudson's were prior to 1880) there is a Ben Cain listed with a Thomas Carter. carter may be the maiden name of the Emily on the census.