In the 1860 Overton Co., TN census, Nonymus Moore is shown living with his own family, next door to his father, Louis Moore, and his unmarried daughters. Non is listed as age 25; he has a wife Martha, aged 20; and a daughter Mary C., aged 3. Evidently Non was a twin to William Moore, who is listed in the next family dwelling after Non and Martha. I haven't been able to find the family in the 1870 census.
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1850 Census - Overton County, Tennessee
Nonimus and and twin brother William are living with their parents and are listed as age 14. This would make their birth year about 1836.

1860 Census - Overton County, Tennessee
Listed as Nonymos Moore, age 25 which would make birth year 1835. Wife Martha, age 20, born in Tennessee. Daughter Mary, age 3, also born in Tennessee. Nonymos lives near his father and unmarried sisters.

1880 Census - Cumberland County, Kentucky
Listed as Non E Moore. Age 47, which would make birth year 1833. Now married to Sallie A. Moore, age 45 and born in Kentucky. They have a son named Isaac, age 14 and born in Tennessee. No mention of former wife or daughter Mary. Non lives near his sister Mary Susan Moore and her husband Isaac McKinley Thrasher (or Thresher).

1900 Census - Cumberland County, Kentucky
Non Moore, middle initial appears to be a J. Birthdate is listed as March 1833. Married to Sarah A. Moore which is most likely Sallie A. from 1880. Sarah is 65 and was born in Kentucky. No children are listed living with them, only a servant.
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1900 census says Non and Sarah have been married for 27 years so they married in 1873.
1880 census says Non's son Isaac was born in 1866. Isaac must be the son of the first wife, Martha.
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Census information contributed by Leslie Frederiksen.