Your were about 20 yrs older than your younger brother, John Cornelius Mixon. The 1880 census is the only place I've found that shows your actual name instead of your nick name of 'Gus'...

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U.S. census 1880
Household Gender Age
T. T. Mixon M 37
Spouse Jane Mixon F 36
Child Augustus Mixon M 13
Child George Mixon M 11
Child Nancy Mixon F 7
Child Mary Mixon F 5
Child Francis Mixon F 3
Child M. B. Mixon F 2M

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William A Mixon, "United States Census, 1920"

Name: William A Mixon
Titles and Terms:
Event Type: Census
Event Year: 1920
Event Place: Wrightsville, Johnson, Georgia, United States
District: 58
Gender: Male
Age: 53
Marital Status: Married
Race: White
Race (Original): White
Can Read:
Can Write:
Relationship to Head of Household: Head
Relationship to Head of Household (Original): Head
Own or Rent:
Birth Year (Estimated): 1867
Birthplace: Georgia
Immigration Year:
Father's Birthplace: Georgia
Mother's Birthplace: Georgia
Sheet Number and Letter: 12A
Household ID: 116
Line Number: 48
Affiliate Name: The U.S. National Archives and Records Administration (NARA)
Affiliate Publication Number: T625
GS Film number: 1820264
Digital Folder Number: 004300122
Image Number: 00422

Household Gender Age Birthplace
Head William A Mixon M 53 Georgia
Wife Gena Mae Garrett Mixon F 48 Georgia
Daughter Eula Mixon F 15 Georgia
Son Ulie B Mixon M 12 Georgia
Son Watus L Mixon M 7 Georgia

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Your daughter (Eula Mixon-Claxton) Obit shows she had the sister's of Nancy Mixon-Johnson, Adelene Mixon-Willis and Carolyn Mixon-Dennis and step-mother Mattie Mixon (your second wife). Eula and husband are buried near you and Gena, Mattie and the other three daughters are buried in Florida....