I found Rebecca Jane Thurman McCarter listed in the 1880 Census of Missouri in Barry County in the Flat Creek Township.She is found listed on stamped page # 312-B...
Rt. # 264/274Jane McCarter, age 56
Martha Jane, age 18 - Age 9 in 1870 Mary E., age 14 - Age 6 in 1870 Andrew, age 12 - Age 3 in 1870 - His name was Joseph Andrew
At. Rt. # 264/273 is Joseph Vineyard McCarter and Rebecca Jane Thurman's son John W. McCarter, age 33
On previous stamp page # 312-A is...
Rt. 263/272 J. M. (Jesse Martin) McCarter, age 31
Regarding Joseph Andrew McCarter, age 12 in 1880 - he is found listed in the 1900 Census of Kansas in Washington County, Richland Township.He is listed as being born in June of 1867.He is 32 years old and has been married for four years.
I guess, you could count him as possible child # 10 of Joseph Vineyard McCarter and Rebecca Jane Thurman.