It is unclear to me whether Stiles is the correct spelling. Most of the family appears to have spelled it Styles. Census records spell it as Styles.
Sources
"Georgia Death Index, 1933-1998," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:V43K-N7S : 24 December 2014), William A Styles, 25 Dec 1957; from "Georgia Deaths, 1919-98," database, Ancestry (http://www.ancestry.com : 2001); citing Fannin, Georgia, certificate number 30280, Georgia Health Department, Office of Vital Records, Atlanta.
"United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MSCR-KBN : accessed 22 December 2019), William Styles in household of Charles H Styles, Civil Districts 9-10, Polk, Tennessee, United States; citing enumeration district (ED) 129, sheet 13B, family 224, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, 1972.); FHL microfilm 1,241,592.
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DNA Connections
It may be possible to confirm family relationships with William by comparing test results with other carriers of his ancestors' Y-chromosome or mitochondrial DNA.
Y-chromosome DNA test-takers in his direct paternal line on WikiTree: