Joel Barton is the son of John Barton and Mary Earles...
Married Missouri Callahan in 1854 Reynolds County, Missouri

1850 Census Reynolds County, Missouri
John Barton M 24 Illinois 1826
Leviey Barton F 24 Kentucky 1826
Mary Barton F 2 Missouri 1848
John Barton M 64 Kentucky 1786
Mary Barton F 48 Kentucky 1802
George Barton M 16 Illinois 1834
Joel Barton M 14 Illinois 1836
Nancy Barton F 10 Illinois 1840
Squire Barton M 7 Illinois 1843

1860 Census Black River Reynolds County, Missouri
Joel Barton M 21 Illinois 1839
Missouri Barton F 25 Missouri 1835
John Barton M 6 Missouri 1854
Mary Barton F 4 Missouri 1856
Jasper Barton M 2 Missouri 1858

1870 Census Black River Reynolds County, Missouri
Joel Barton M 21 Illinois 1839
Missouri Barton F 25 Missouri 1835
John Barton M 6 Missouri 1854
Mary Barton F 4 Missouri 1856
Jasper Barton M 2 Missouri 1858

1880 Census Reynolds County, Missouri "Missouri Widowed"
Joel died the say year 1880
Missouri Barton Self F 45 Missouri, United States
Nelson Barton Son M 13 Missouri, United States
George Barton Son M 11 Missouri, United States
Lucy Barton DaughterF 7 Missouri, United States
Nancy Barton DaughterF 5 Missouri, United States
Rhode Barton DaughterF 3 Missouri, United States
J T Lewis Other M 22 Missouri, United States
Vicey Barton DaughterF 9 Missouri, United States

Joel and Missouri children that I have on record, and I'm still working on this family ....

John Barton 1855–
Joseph Carl "Joel Jasper" Barton 1856–1937
Mary Pollyanna Barton 1856–1930 "William Caulley"
Thomas Squire Barton 1860–1934
Sarah Jane Barton 1864–1884 "Willim M Gunnett" Died given Birth William Henry Gunnett
Nelson Barton 1867–1891
George Barton 1869–
Vica Elizabeth Barton 1870–1945 "Gen Washington Radford"
Lucy Ann Barton 1871–1963 "Joseph Ambrose Lawson"
Nancy Barton 1875–
Rhode Barton 1877 "Census has a Girl, Could be Rhoda"

1900 Census in Madison County, Missouri ..
Missouri Barton and her son George Barton are living with Missouri's Grandson John Barton 1871..

possible middle name Jesner not proven