Parents of Charles Brooks Lumpkin were Balsarah Brooks and Dickerson Lumpkin III.
FROM Brooks Family History (Casey and Casey, 1982):
BALSARAH BROOKS (2.4.2) is the daughter of Robert Brooks and Frances (Baugh) Brooks. Balsarah was born in 1816 in Georgia. On October 9, 1833, Balsarah Brooks married Dickerson Lumpkin, III in Talbot County, Georgia. Dickerson Lumpkin, III was born on September 29, 1812 in Jones County, Georgia and is the son of Dickerson Lumpkin, Jr. and Charlotte Frances Lumpkin. Dickerson Lumpkin, Jr. was a veteran of the Revolutionary War. From 1840 to 1880, Balsarah and Dickerson Lumpkin lived in Talbot County, Georgia. Dickerson and Balsarah Lumpkin were the parents of at least nine children:

Robert Dickerson Lumpkin (2.4.2.1), b. 1835, Talbot County, Georgia
Charlotte Frances Lumpkin (2.4.2.2), b. August 14, 1836, Talbot County, Georgia
Charles Brooks Lumpkin (2.4.2.3), b. September, 1839, Talbot County, Georgia
Martha Susan Lumpkin (2.4.2.4), b. January 7, 1842, Talbot County, Georgia
Hamilton S. Lumpkin, b. 1845, Talbot County, Georgia
James D. Lumpkin, b. October, 1846, Talbot County, Georgia
William C. Lumpkin (2.4.2.7), b. 1848, Talbot County, Georgia
Emily Catherine Lumpkin (2.4.2.8), b. November 14, 1852, Talbot Co., Georgia
Sarah Rebecca Lumpkin (2.4.2.9), b. July 2, 1856, Talbot County, Georgia

Balsarah (Brooks) Lumpkin died in 1881 in Talbot County, Georgia and was buried in the family cemetery three miles north of Geneva, Georgia. Dickerson Lumpkin died on November 2, 1895 in Butler, Georgia. Hamilton S. Lumpkin served as a private in the Confederate Army, Company F, 18th Battalion, Georgia Infantry.

References: 1) 1840, 1850, 1860, 1870 and 1880 Censuses, Talbot County, Georgia; 2) "History of Stewart County, Georgia," Volume 2, Page 868; 3) "37,000 Early Georgia Marriages," by Joseph T. Maddox; 4) "Brooks Family History," by Roberta J. Lumpkin, 1978; 5) Letter, Roberta J. Lumpkin to Robert Casey, December 28, 1979