Just to make sure I understand you, you're saying the link to the William mentioned above is not the correct William? The wife of the linked William above would have been born after your Thomas was born. In fact, her father was born after your Thomas so you must be using this as an example.
I've found some records you probably already have, but they don't have anything to do with the linked William on this page.
1920 Bexar County, Texas Census, San Antonio
301
Garrett,
Thomas 51; TN
Mary Gertrude 46; TX
Blinn Kimbrough 19; AL (son)
Stephen Girard 18; AL
"United States Census, 1920," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MH1Z-XXX : accessed 09 Nov 2014), Thomas Garrett, San Antonio Ward 4, Bexar, Texas, United States; citing sheet 13A, family 301, NARA microfilm publication T625, National Archives and Records Administration, Washington D.C.; FHL microfilm 1821779.
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1930 Bexar County, Texas Census, San Antonio
475
Garrett,
Thomas 62; TN
Gertrude 56; TX
"United States Census, 1930," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/C349-86Z : accessed 09 Nov 2014), Thomas Garrett, San Antonio, Bexar, Texas, United States; citing enumeration district (ED) 0081, sheet 25A, family 475, NARA microfilm publication T626, National Archives and Records Administration, Washington D.C.; FHL microfilm 2342029.
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Thomas Garrett b. 8 Feb 1867; Tennessee/d. 19 Aug 1930; San Antonio, Bexar, Texas; Father: William Garrett
"Texas, Deaths, 1890-1976," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/K33P-XW7 : accessed 09 Nov 2014), Thomas Garrett, 19 Aug 1930; citing certificate number 37891, State Registrar Office, Austin; FHL microfilm 2135388.
"Texas, Death Index, 1903-2000," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/VZDZ-C8X : accessed 09 Nov 2014), Thomas Garrett, 19 Aug 1930; from "Texas, Death Index, 1903-2000," index, Ancestry.com (www.ancestry.com : 2006); citing certificate number 37891, Bexar, Texas, Texas Department of Health, State Vital Statistics Unit, Austin.
http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GSln=Garrett&GSiman=1&GScid=452856&GRid=14395407&
http://billiongraves.com/pages/record/Thomas-Garrett/7890577
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Blinn Kimbrough Garrett
United States World War I
Draft Registration Date & Place: 1917-1918 San Antonio City #2, Texas
Birth date: 21 May 1900
"United States World War I Draft Registration Cards, 1917-1918", index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/KZXT-B1L : accessed 09 Nov 2014), Blinn Kimbrough Garrett, 1917-1918.
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Blinn Kimbrough Garrett 112 W. Commerce St., San Antonio
[http://books.google.com/books?id=Jr5BAAAAIAAJ&pg=PA21&lpg=PA21&dq=Blinn+Kimbrough&source=bl&ots=YLN49C6umW&sig=LoCZjoQ7TuWcuvncqhld1tSIyTY&hl=en&sa=X&ei=Z9JfVKjqBIieyASNoYDYCg&ved=0CCMQ6AEwAA#v=onepage&q=Blinn%20Kimbrough&f=false official Lis of Officers of the Officers' Reserve corps of the Army of the United States, Volume VI], p. 21, August 31, 1919, The Adjutant General's Office, Washington Government Printing Office, 1920
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Blinn K. Garrett 1940 census.
Death record of son, Blinn Kimbrough Garrett (21 May 1900; AL/8 Mar 1954; San Antonio, Bexar, TX), states parents as Thomas and Gertrude (Dun) Garrett.
"Texas, Deaths, 1890-1976," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/K372-7Z2 : accessed 09 Nov 2014), Thomas Garrett in entry for Blinn Kimbrough Garrett, 08 Mar 1954; citing certificate number 10414, State Registrar Office, Austin; FHL microfilm 2114146.
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Death record of son, Stephen Girard Garrett (26 Nov 1901; TN/17 Aug 1973; Austin, Travis, TX), states parents as Thomas and Gertrude (Dun) Garrett.
"Texas, Deaths, 1890-1976," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/K36W-9K9 : accessed 09 Nov 2014), Thomas Garrett in entry for Stephen Girard Garrett, 17 Aug 1973; citing certificate number 65492, State Registrar Office, Austin; FHL microfilm 2242934.
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1940 Bexar County, Texas Census, San Antonio
Garrett,
Stephen G 38 Alabama
Mildred 38 Texas
Kimbrough 3 Texas
Blinn K Brother M 39 Alabama
Burrows,
Agnes Mother-in-law F 60 Texas
"United States Census, 1940," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/K4W7-1SW : accessed 10 Nov 2014), Stephen G Garrett, Area A, San Antonio, Justice Precinct 1, Bexar, Texas, United States; citing enumeration district (ED) 259-11, sheet 14A, family 335, NARA digital publication of T627, roll 4201, NARA digital publication of T627, National Archives and Records Administration, Washington, D.C.
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I went over the 8000 characters maximum length so this is to be continued...