Here is a start on CSA vets buried in Brazoria County.
I know there are more and will start a file on CSA vets.

Regards, David

WALTER, William Thomas
Angleton Cemetery, Angleton TX
27 Mar 1844 - 17 Mar 1932

COX, John  W.
Alvin City Cemetery, Alvin TX
(no dates)
Co. D. 26 Tex. Cav. C.S.A.

JAMISON, James
Jamison Cemetery, 1 mile west of Angleton, TX
1814 - 1882

BROWN, Major Ruben R.
Gulf Prairie Cemetery, Jone Creek TX
3 Feb 1808 - 2 Mar 1894

UNDERWOOD, Joseph P.
Columbia Cemetery, West Columbia TX
26 Feb 1845 -  1 Feb 1925

CANNAN, Edward Burleson
Angleton Cemetery, Angleton TX
28 Jan 1842 - 5 Oct 1931

DELANEY, Edward
Angleton Cemetery, Angleton TX
1845 - 1930

THOMAS, Elijah B.
Confederate Cemetery, Alvin TX
2 Nov 1842 - 28 Sep 1847

EVANS, Barnum Daniel
Confederate Cemetery, Alvin TX
7 Sep 1833 - 13 Dec 1905

ARNOLD, P. H.
Confederat Cemetery, Alvin TX
(no dates)
Co. F 8th. Texas Cav. C.S.A.

ROARK, J. W.
Confederat Cemetery, Alvin TX
(no dates)
Co. 1 26th. Tex. Cav. C.S.A.

WEEMS, James M.
Confederat Cemetery, Alvin TX
4 Jul 1833 - 7 Apr 1923

Capt. TERRY, Aurelius J.
Fourth Ala. Cavalry C.S.A
Sandy Point Cemetery, Sandy Point TX
abt. 1828 - 1869

DUFF, George
Columbia Cemetery, West Columbia TX
(no dates)
2nd Lt. In the "Columbia Blue", Co. A  Brown's Regt. Cav.

HEARD, John William
Angleton Cemetery, Angleton TX
9 Jun 1841 - 15 Apr 1909

JACKSON, John Harrison
Angleton Cemetery, Angleton TX
1 Dec 1840 - 30 Dec 1906

SURFACE, Noah S.
(New Town)Brazoria Cemetery, Brazoria TX
23 Feb  1843 - 6 May 1940

MUNSON, Mordello S.
Munson Cemetery, Bailey's Prairie TX
(This cemetery has not been inventoried and will give you dates later.)

BATES, Joseph
Columbia Cemetery, West Columbia TX
22 Nov 1845 - 19 Jul 1878
Col. Joseph Bates was Commander of 4th. Tx. Vol. Regt. with headquarters in Velasco, Brazoria Co.

DeARCY (D'Arcy), Joseph
DeArchy Cemetery, Lake Jackson TX
19 Mar 1828 - 4 Nov 1887

WILLIAMS, Sr. James E.
Angleton Cemetery, Angleton TX
4 Apr 1847 - 7 Feb 1920

COBB, Asa S.
Confederate Cemetery, Alvin TX
1841 - 1921

COBB, Joseph Taylor
Angleton Cemetery, Angleton TX
1841 - 1922
Captain in Hood's Brigade

TAYLOR, James P.
Columbia Cemetery, West Columbia TX
20 Oct 1839 - 5 Dec 1928

HANKS, Major John
Columbia Cemetery, West Columbia TX
26 Mar 1844 - 15 Sep 1916

GRAVES, Dr. Joseph
(Old Town) Brazoria Cemetery, Brazoria TX
(no dates)
Served with the Edisto Rifles

SHANKS, Terry Tarpley
Phair Cemetery, Oyster Creek TX
26 Feb 1846 - 11 Nov 1927

KERR, William James
Alvin City Cemetery, Alvin TX
1841 - 1922

DANCE, Harrison Perry
Columbia Cemetery, West Columbia TX
19 May 1818 - 17 Jan 1879
1st Sgt "Columbia Blues" Co A Brown's Regt. Cav.

BRYAN, Guy M. Jr.
Gulf Prairie, Jones Creek TX
25 Jan 1843 - 3 Sep 1921
Pvt, "Columbia Blues" Co A Brown's Regt. Cav.

FAICKNEY, Robert
Columbia Cemetery, West Columbia TX
1842 - 1919
Pvt, "Columbia Blues" Co A Brown's Regt. Cav.

GRAHAM, C. D. S.
Confederate Cemetery, Alvin TX
9 Oct 1840 - 4 Jul 1922
Pvt, "Columbia Blues" Co A Brown's Regt. Cav.

HOLMES, Charles
(Old Town)Brazoria Cemetery, Brazoria TX
1835 - ?>

TINSLEY, Joseph M. (this may be the Joe Tinsley)
Columbia Cemetery, West Columbia TX
29 Jan 1843 - 3 Oct 1899
Pvt, "Columbia Blues" Co A Brown's Regt. Cav.

WILSON, Eugene J.
(Old Town)Brazoria Cemetery, Brazoria TX
19 Jul 1845 - 2 Aug 1921
Pvt, "Columbia Blues" Co A Brown's Regt. Cav.