This looks like the same Klinefelters listed in the 1860 Federal Census for Brown County, Kansas, Irving Township, Page 10. This is from the 1880 Federal Census for Brown County, Kansas, City of Hiawatha, ED #16, Page 12 (also shown as 40), 111/119.Not in my line but it may be of help.
Jacob Klinefelter, 42, Head, Carpenter, Ohio, PA, PA
Abbie Klinefelter, 31, Wife, Keeping House, NH, NH, NH
Lilian Klinefelter, 12, Daughter, At school,Kans, OH, Ind
Cyrus Cook, 42, Blank, Principle of School, Ohio, PA, MD
Peter Klinefelter, 38, Brother, Speculator, Ohio, PA, PA
Good hunting! Frank