Here is some more census records info on Joseph Vineyard McCarter and Rebecca Jane Thurman.
In 1850, they were residing in Bledsoe County, TN.
In 1860, they were residing in Howell County, Missouri in the Willow Springs Township. They are found listed on original, written page 55...
Rt. # 359/359 Joseph, age 39 Jane, age 37 John W., age 13 (?) or 19 (?) Jessy M., age 12 William N., age 9 Elizabeth E. (Edith?), age 7 Sarah A., age 4 Moses, age 1
You were asking who the children of Joseph and Rebecca were.If all the children listed in the census records in 1860 and 1870 were their children, then here is a list of them:John W., Jesse M., William N., Elizabeth E., Sarah A., Moses, Martha, Mary and Joseph.That would be a total of nine.The problem is, the census taker only listed male or female.Not son or daughter.Sometimes children listed in households in the early census records could have been nephews, nieces or other relation.