I added the profile for Matthew Bynum Williamson to your question. Is that an ancestor you were searching for information for?
It looks like his parents were M(att) Williamson and Betty/Elizabeth Bynum.
Texas, Deaths, 1890-1976," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/K3ML-746), Matthew Bynum Williamson, 05 Mar 1940; citing certificate number 15236, State Registrar Office, Austin; FHL microfilm 2,118,505.
IMAGE SOURCE: https://familysearch.org/pal:/MM9.3.1/TH-1951-25240-126456-95?cc=1983324
Name: Matthew Bynum Williamson
Death: 05 Mar 1940 Port Arthur, Jefferson, Texas
Male Married Retired Merchant
Birth Date: 17 Sep 1863 Brazoria County, Texas
Father: M B Williamson Birthplace: Virginia
Mother: Bettie Bynum Birthplace: North Carolina
Certificate Number: 15236
U S Census, 1870 Precinct 2, Brazoria, TX
"United States Census, 1870," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MXGK-PFN ), Mat Williamson in household of Mat Williamson, Texas, United States; citing p. 141, family 1266, NARA microfilm publication M593 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 553,075.
Mat Williamson M 54 North Carolina
Elizabeth Williamson F 38 North Carolina
Lucinda Williamson F 11 Texas
Mat Williamson M 6 Texas
Sallie Williamson F 4 Texas
Rhody Williamson F 2 Texas
U S Census, 1860 Fort Bend, Texas
"United States Census, 1860," index, FamilySearch (https://familysearch.org/pal:/MM9.1.1/MXFB-4X9 ), Bettie Williamson in household of M B Williamson, [Blank], Fort Bend, Texas, United States; from "1860 U.S. Federal Census - Population," Fold3.com; citing p. 50, household ID 388, NARA microfilm publication M653, National Archives and Records Administration, Washington, D.C.; FHL microfilm 805,294.
M B Williamson M 43 North Carolina
Bettie Williamson F 25 North Carolina
Lucy Williamson F 1 Texas
Jasper Thurmond M 22 South Carolina
see also: http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=54024989