It, I'm sure, is "Jimmy Brown the Newsboy". I've been listening to the Carter Family, Flatt & Scruggs, Mac Wiseman and others.

The original "Jimmie Brown, the Paper Boy" was written by W.S. Hayes in 1875, which doesn't have the "no shoes upon my feet" line and whose melody is quite different. Words with MIDI is here. The original sheet music (1875) is here in the Libray of Congress.