I found the marriages below on the Meigs Co, TNGenWeb site.

FALLS, Burkett VAUGHN, Belle 6 Aug 1894
FALLS, Owen KENNEDY, ? 14 Sep 1864
FALLS, Scott LEMON, Mattie 7 Feb 1888
FALLS, Thomas MATHEWS, Narcisa 29 Aug 1857
FALLS, W. R. CLAYTON, Mattie

I didn't find any FALLS mg. before 1850
Hope that helps