I have included my research notes with references included. Maybe this will assist you in your research.
It Happened in the Smokies by Gladys Trentham Russell
Page 54 "In 1840, William Trentham was appointed first postmaster of White Oak Flats and served until the disbandment of the post office in 1844. " William and his firstborn son, James Madison Trentham homesteaded a large tract of land in what is now called the Sugarlands in GSMNP. William was the first to be buried in the Trentham Cemetery. He died in December, 1848 before the birth of his son William McCajah in July 1849. His (second) wife Easter Ogle lived until 1888 and is buried close by him.
Rhea and Meigs Counties, Tennessee, in the Confederate War by V.C. Allen
p41, Appencix C; Rhea County Home Guard
On 3rd June 1861, The Rhea County Court appointed a "Home Guard of Minute Men" for each of the civil districts, "which said Home Guard are to arm and equip themselves at their own expense and are to serve as such Home Guards for the term of three months are as follows:
Civil District No. 4
Jas M. Trentham
Steuart, Richard Dennis, Papers, 1861-1865. 18 items. Mss1ST465a.
This collection, designated as part of the Maryland-Steuart Collection, contains miscellaneous Confederate materials collected by Richard Dennis Steuart (1852-1951) of Baltimore, Md. Items include.......a notice, 1863, concerning the death of James M. Trentham of the 16th Tennessee Infantry Regiment at a hospital in Petersburg (section12).
Rhea County Court Minutes, December 1871-April 1876
January Term 1872, p18; William M. Trantham appointed Administrator. of James M. Tranthan, deceased.
January Term 1873, p103; J. Trantham listed as a delinquent tax payer for 1871.
May Term 1874, p245; N.P. Frazier appointed guardian of R.M. Trantham; made bond with W. G. Allen for $250.
June Term, 1875, p362; Robert Trantham overseer of road from the mile post at the Devaney farm to Clear Creek; hands on farms of
S.B. Ferguson, G.W. Marshall, W.H. Wyrick, L.C. Ferguson, H.H. Miller. J.H. Devaney, W. M. Trantham, and the hands where Henry Thurman now lives.
January Term 1876, p406; Jack Trantham overseer in place of James Marsh.........
Personal Name Steuart, Richard Dennis, 1882-1951, collector.
Title Papers, 1861-1865. Section 12.
Physical. Description. 1 item.
Call Number Mss1 St465 a 12
Summary Note A notice, 1863 April 15, signed by Edmund Rhett Walker (as
surgeon in charge of the South Carolina Hospital in Petersburg, Va.) concerning
the death of James M. Trentham (of Company C of the 16th Tennessee Infantry
Regiment, Confederate States of America).
Subject (Name) Walker, Edmund Rhett, 1836-1891.
Subject (Corp.) Confederate States of America. Army. Tennessee Infantry
Regiment, 16th. Company C.
Subject Military hospitals -- Confederate States of America.
Subject Date: 1863 April 15.
Corporate Name South Carolina Hospital (Petersburg, Va.)
Rhea and Meigs Counties, Tennessee in the Confederate War by V. C. Allen, pp.11-12, states that William McCajah Trantham
fought for the Confederacy in the Civil War; served in Company C of the Sixteenth Tennessee Battalion of Cavalry under W. P. Darwin, Captain, along with his brother Andrew Jackson "Jack" Trantham and his father, James Madison Trantham.