I am also researching George C. Robbins and Tulluah Anderson. All the information I have to go on is a child, Dena Robbins born November 15, 1894 and died August 16, 1958 in Bath, Aiken, SC. I was told by living relatives that "Dena" was short for a much longer name (perhaps indian). She married William K. McDowell. Her death certificate listed her parents as G.W. Robbins and Tulluah Anderson, and said she was born in Greenwood County, SC. However, living relatives said they were pretty sure she was from Georgia, not SC.
1880 Census, District 259, Screven, Georgia, Page 233A
G. C. ROBBINS Self M Male W 26 GA Farmer GA GA
T. A. ROBBINS Wife M Female W 21 GA Keeping House GA GA
Antiontnett ROBBINS Dau S Female W 3 GA GA GA
Eliott ROBBINS Son S Male W 1 GA GA GA
A. E. ROBBINS Brother S Male W 18 GA Farm Hand GA GA

Any additional info?