Damron Cemetery, Grayson County, Texas Leave a Comment / Cemetery, Texas / May 30, 2011 Last Updated on May 30, 2011 by A cemetery transcription of Damron Cemetery in Grayson County, Texas. The specific location of this cemetery is not noted.DAMRON Annie, b. 27 Aug. 1875, d. 27 Nov. 1899. Surnames:Damron, Locations:Grayson County TX,Collection:AccessGenealogy.com. Cemetery Collection.