Kathy,
There is a Muhlenberg County KY marriage, 19 Apr 1913, for Ben Flatt to Lizzie Levell, Marriage Book 35, p. 67

Then:
Evergreen Cemetery, Greenville
Henry Lee Flatt - 16 Jun 1907 - 08 Oct 1936
Ozzie Lee Flatt, his wife - 08 Feb 1908 -------
Bettie Lou Flatt - 20 Feb 1932 - 29 Feb 1932

Cherry Grove Cemetery, located at Weir KY 5.4 mi. from Greenville
Low Flatt - 1879-1945
Perley Flatt - 1882-1951

Joines Chapel Cemetery (Joines Chapel Gen Bapt Church & Cemetery) located just over Muhlenberg County line in Todd County on Hwy 890.
Following from obits appearing in the Leader News, Greenville and the Times Argus, Central City which gave Joines Chapel as place of burial:

Martha Flatt - 05 May 1929 - 03 (?) Jul 1973
Glenda Flatt ------

Giula Flatt - 18 Mar 1919 - 16 May 1978
Glendle Flatt

I do not have any Flatts nor Levels in my lines but hope this might fill in a few of your empty places if they are related to you.

Dorann