This is the kind of question that allmusic is usually good at answering.

It lists recordings by Bill Clifton, John England, David Grisman, Jack Guthrie, Merle Haggard, Grandpa Jones, Kimmel & Rosenstein, Bill Monroe, Willie Nelson, The Riverside Trio, Jimmie Rodgers, The Rooftop Singers, Betty Jo & Johnny Starr, Merle Travis, Doc Watson, and Hank Snow (who called it PEACH PICKING TIME DOWN IN GEORGIA). But none by Riley Puckett. So it looks as if it hasn't been reissued on CD.

This page confirms that Puckett recorded it, however, in 1941, on the Bluebird label.

PEACH PICKIN' TIME IN GEORGIA was written by Clayton McMichen and Jimmie Rodgers.