I own a brown wax cylinder home recording of the song (below), which dates to 11/27/1901. Sounds to me like an elderly male singer w/ accordion accompaniment. Nicely done and a catchy tune!
From my research, I haven't found any cylinders - or even pre-1930 78s - w/ this title. Really nothing until this nice 1930 record by Gerald Adams.
Am I missing any early "Two Little Girls in Blue" records?
my video:
(Double-click the video above or click this link to watch the video on YouTube in HD.)
1930 of the song by Gerald Adams (circa 1930 Regal record)(Double-click the video above or click this link to go to the video on YouTube.)