I'm not researching this family, but I did find the following in the Brown County Cemetery list. (Compiled by H. Lyle Hinz of the Brown County Genealogical Society)
Horton Cemetery, Mission Township, Brown Co., KS
This looks like some of the family.
THOMPSON
Andrew J. 27 MAY 1889 - 20 DEC 1971, "Ks 1st Lt 137 Inf WWI"
Andrew John; 24 JUL 1846 - 24 FEB 1929, "Father"
Ann May; 1921 - 1939
Arthur R.; 1873 - 1943
Bert F.; 1905 - 1986
Calvin L.; 26 JUN 1855 - 19 MAR 1924
Carlton L.; 7 JAN 1901 - 27 JAN 1975, "Pvt USA"
Elizabeth M.E.; 8 NOV 1855 - 19 MAR 1932, "Mother"
Evelyn Jean; 28 FEB 1926 - 14 JUL 1930
Fannie R.; 22 DEC 1893 - 4 MAY 1975
Frances L.; 1918 - (blank)
John R.; 1877 - 1950
Mary A.; 1849 - 1930
Melvin W.; 1924 - 1951
Myrtle E.; 1879 - 1966
Nellie E.; 1899 - 1978
Rachel White; 1886 - 1949
Thomas J.; 1883 - 1961

Also, in the Upper Wolf Lutheran Church Cemetery, in Robinson Township, Brown Co., Ks, among 12 Thompson's buried there, there's a Marvin L. listed. Born 1914, died 1994.