Sammy Nestico was a highly respected American composer and arranger known for his work in jazz and big band music. However, "Sweet Georgia Brown" is not originally composed by Nestico; it's a jazz standard that was written by Ben Bernie, Maceo Pinkard, and Kenneth Casey in 1925. The song has been widely covered and adapted by various artists over the years.
That being said, Sammy Nestico may have arranged or performed a version of "Sweet Georgia Brown" in his career. Nestico was particularly known for his long association with the Count Basie Orchestra, where he served as the chief arranger for many years. His arrangements played a significant role in defining the sound of the Basie band. If Nestico arranged "Sweet Georgia Brown" for the Count Basie Orchestra or another ensemble, it would likely showcase his signature style of dynamic and swinging big band arrangements.