All I have on Barnett is Nannie Alice Barnett b. 1867 Sciotoville Scioto Co,Oh d. 30 Aug 1936 Scioto Co raised family New Boston,Ohio was dau of Andrew Scott Barnett and Hulda Rowley. Andrew Barnett death notice online Scioto Co,Oh site and burial Rowley Cemetery east of Sciotoville. Nannie m. John Wesley Carver 27 July 1892. Have copy of letter handwritten by Nannie i 1920's says she m. at age 22 Lafayette Platt in 1886 had child Roy LaPlatte b. 1888 left a widow in 1889. My fathers birthplace Lewis Co,Ky.
As to Green Twp Scioto Co,Oh....thats where I grew up went to school some Barnetts. One was Frank Barnett who became Superintendant of Green Twp Schools (now called Franklin Furnace Green). FYI: Sciotoville and New Boston neighbor each other and Franklin Furnace is abt 6 miles east of them in eastern Scioto Co. Portsmouth,Ohio is the county seat and borders New Boston on the west.