Semantics: That's Washington County NC - he eventually became General of the TN Militia, but was ELECTED a LT at Kings Mountain AT THE AGE OF SIXTEEN, and was elected a Capt. in the SC skirmishes months later:
Revolutionary Pension Abstracts:
Landon, Elizabeth, W900, NC Line, sol was b 29 Jan 1760, sol lived in Washington Cty at enl, sol m Elizabeth Maclin or Maulin or Meulin on 26 Feb 1784 & she was b 9 Jul 1765 & sol d 5 Jun 1800, wid appl 8 Dec 1838 Carter Cty TN a res of Elizabethton TN, wid was dec'd in 1854, children shown were; Alfred M. aged 54 in 1838 & m 15 Nov 1810 (wife not named), Sarah, Elizabeth or Eliza M. who m a man named Paxton, George W., Mary, & William B. who in 1838 was a member of US House of Reps from TN
The Battle of King's Mountain *** by C. Hammett, Coordinator, Tennesseans in the Revolutionary War
"King's Mountain is unique in America's history: This battle—fought by 1,000 plus militiamen— without orders, formal military training, uniforms or provisions, and with no promise of pay —against the supposedly “superior forces” (1) of noted English Col. Patrick Ferguson—is credited by most early historians with having changed the course of the Revolution in the South, and may have even insured that the original number of colonies in these United States of America would be thirteen, not ten. (2)
"In only one hour and five minutes, the American Whigs (Patriots, Rebels) totally decimated @ Ferguson's American Tories (Loyalists, Royalists), with every last man of them either dead or taken prisoner, and the Colonel himself left dead on the battlefield—having signed his own death warrant less than a month earlier when he sent a message from his camp in Gilbert Town, Rutherford County, North Carolina, to the “officers on the Western waters” (west of the Blue Ridge) that if they did not “desist from their opposition to the British army, and take protection under his standard, he would march his army over the mountains, hang their leaders, and lay their country waste with fire and sword.” (3)
Only Lt. Landon Carter is mentioned, not his father John, already "rather old and palsyed".
From his Memorial Plaque in the Carter-Lewis Cemetery, Elizabethton, Carter County TN:
Landon Carter - 1760-1800 - For whom Carter County was named.
Captain Revolutionary War, in South Carolina and Indian Wars. Entry-Taker and ***** Auditor Washington District 1784 ***** Represented Washington District in the House of Commons North Carolina General Assembly, North Carolina Senate 1789 Secretary Franklin Convention. Speaker first Senate member first council of State, Secretary of State Entry-Taker 1790 LT Col. Militia Justice of Peace, Washington County. Treasurer of Washington and Hamilton Districts. Colonel in Campain 1792 Trustee Martin's Academy and of Greenville College Brigadier General of Militia of Tennessee Built first Iron Forge in Tennessee.Married 1784 Elizabeth Maclin Carter For whom Elizabethon was named.
Their children Alfred Moore, John Maclin, Sallie S., William Blount, George Washington, Eliza M., Mary C.
Landon Carter represented Washington County in the first Constitutional Convention of the State of Tennessee. His son, William B. Carter was President of the second (1834) Convention and his grandson, William B. Carter, Jr., was a member of the third Consitutional Convention (1870).