“Crockettite” is the name of an inhabitant of Crockett, Texas. The name “Crockettite” has been cited in print since at least 1907.
 
     
Wikipedia: Crockett, Texas
Crockett is a city in Houston County, Texas, in the United States. As of the 2000 census, the city population was 7,141. It is the county seat of Houston County.
     
31 March 1907, Galveston (TX) Daily News, pg. 28, col. 5:
Quite a number of Crockettites were in Palestine last Tuesday, attending the Collins-Gooch wedding.
 
27 June 1907, Galveston (TX) Daily News, “Investors at Crockett,” pg. 9, col. 5:
Hundreds of acres devoted to orchard and truck farms are things that make the eye glad, good roads to drive over and on their return to be welcomed into the palatial homes by the hospitality of which Crockettites are so justly proud.
 
The Portal to Texas History
11 July 1912, Crockett (TX) Courier, pg. 4, col. 2:
Push that East Texas railroad on to Crockett. Wake, you Lufkinites and Crockettites, and help us boost this good movement.
 
The Portal to Texas History
13 January 1955, The Rusk Cherokeean (Rusk, TX), pg. 15, col. 1:
Terrell Marie Fisher was with a Crockettite by the name of George Young Jr.
 
East Texas News
Native Crockettite named Miss Texas 2007
Houston County Courier - July 2007
Molly Hazlett, 20, a native of Crockett and Houston County, was crowned Miss Texas 2007 in the Miss Texas Pageant Saturday, July 7 in Fort Worth.  Her platform was “Just Say No” Drug Education in Schools.