Yes, I do believe this is our William Charles (Charlie) Reed, son of Ezekiel T. Reed (1832-1898) and Isabella Rishforth (1834-1870). I found William C. Reed, widowed in the 1910 Census for Shelby County, Missouri with 13 year old son Harvey. Other information leads me to believe this is the correct person.
Harvey b. Aug. 1, 1896 in Bethel, Shelby County, Missouri married Hazel Lee (???) and has sons, Paul, 9 and Harland, 7, (as of 1930 Census, Bethel, Shelby County, Missouri).
Other information makes this very likely to be the correct family.