Co-written and first recorded by Hoagy Carmichael & His Orchestra (1930).
Hit versions by Frankie Trumbauer (1931), Ray Charles (US #1/R&B #3/UK #24 1960).
Also recorded by The Band (1977).
From the wiki: “Written in 1930 by Hoagy Carmichael (music) and Stuart Gorrell (lyrics). Gorrell wrote the lyrics for Hoagy’s sister, Georgia Carmichael. However, the lyrics of the song are ambiguous enough to refer either to the state or to a woman named ‘Georgia’.