The 1900 US Census for Precinct 5, Lamar, Texas, appears to show that Judie B. Garner was the child of Mary E. Bishop. Mary E. has been married for 2 years, but she has 3 living children. That accounts for daughter Judie Garner b. April 1891; son Frances E. Garner, b. March 1893; and daughter Josie L. Bishop, b. Aug 1898. The Garner children's father was born in South Carolina.("United States Census, 1900," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M3PH-C3S : accessed 29 May 2016), Judie B Garner in household of John L Bishop, Precinct 5 (south part), Lamar, Texas, United States; citing sheet 6B, family 116, NARA microfilm publication T623 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,241,652.) That is a starting point.
There is a Texas Death Certificate for a Judea Bell Eatman, daughter of Ben Garner and Mary Steelman, b. Paris, Lamar, Texas, 12 April 1891, d. Big Spring, Howard, Texas, 10 Jan 1968.(Texas, Death Certificates, 1903–1982 [Ancestry.com.database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2013. Original data: Texas Department of State Health Services. Texas Death Certificates, 1903–1982. Archives, Orem, Utah. Lamar County, 1968, #04687) This looks like the correct person, with the right bgirth year and month, mother with the correct first name and father Garner.
When Frances Elton Garner died on 25 Feb 1976 in San Benito, Cameron, Texas, his father was shown as Benjamin Garner and his mother as Mary Steelman.("Texas Deaths, 1890-1976," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:K38G-V5V : accessed 29 May 2016), Benjamin Garner in entry for Francis Elton Garner, 25 Feb 1976; citing certificate number 07982, State Registrar Office, Austin; FHL microfilm 2,243,844.)
Mary Steelman married B. E. Garner on 18 July 1890 in Freestone County Texas.("Texas, County Marriage Index, 1837-1977," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:XLFQ-9V7 : accessed 29 May 2016), B E Garner and Mary Steelman, 18 Jul 1890; citing Freestone, Texas, United States, county courthouses, Texas; FHL microfilm 988,616.)
Mary Garner married J.L. Bishop 7 Nov 1897 in Lamar County, Texas.("Texas, County Marriage Index, 1837-1977," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:FX9R-4TP : accessed 29 May 2016), J.L. Bishop and Mary Garner, 07 Nov 1897; citing Lamar Co, Texas, United States, county courthouses, Texas; FHL microfilm 1,293,620.)
I think that is fairly conclusive that Judie's father was Benjamin Garner and her mother was Mary Steelman.