Individual Details

This is likely Letha in 1880. She's the right age and her parents born in NC:
Grant Twp, Webster Co MO
G. M. Patterson, age 29, b. MO, parents b. TN
Letha, age 26, b. MO, parents b. NC
Gideon N., age 4, son, b. MO.

1900 Census. Springfield, Greene Co MO, Hh 185
Gideon Patterson, b. Dec 1850, age 49, b. MO, parents b. TN, stock buyer
Letha A., b. Oct 1853, age 46. They've been married 25 years. She had 2 children. Born TN, parents b. MO.
Gideon N., son, b. Aug 1875, age 25, bank teller
Joseph W., son, b. Feb 1881, age 19, stock buyer

Birth

Oct 1853

Tennessee

Father	Robert Holderness Brooks (1817 - 1860)
Mother	Leatha Boswell (1819 - )
Sibling	Christopher William Brooks (1845 - )
Sibling	William Ransom Brooks (1846 - )
Sibling	John Kerr Brooks (1847 - )
Sibling	Frances Isbel Brooks (1852 - )
Sibling	Andrew Johnson Brooks (1856 - )