Would this be your Hugh Barnett?
1850 Cove Creek Twp., Washington Co., Arkansas page 360
Hugh Barnett, 27, M, Farmer, Ark
Martha, 20, F, TN
William, 3, M, Ark
Eliza, 1, F, Ark
Also on page 360 is:
James Barnett, 30, M, Ark
Sarah, 24, TN
Lucinda, 2, Ark
Malissa, 4/12, Ark
Also, you might want to check http://awt.ancestry.com/cgi-bin/igm.cgi?op=GET&db=barbjo...
. There is a John Hugh Barnett who married Martha Dillin. They had a son Samuel and another son David Francis born in 1865 in Kansas (Would this be your Frank?).
According to www.familysearch.com
, James Barnett married Sarah Ann Rodgers on March 20, 1849 in Fayetteville, Washington Co., Ark. James died July 2, 1890 in Coos Bay, Oregon. Their children were: James, Nancy, Donna, Melissa (Malissa), and Lucinda Caroline.
Hope this helps.