I checked my several versions of the song but none tells the author. The best explanation I can get is on a CD of 97th Regimental String Band (a locally based Civil War reenactment band) which says it is a "pre-civil war comedy song unascribed to any source." Called a member of their band who lives nearby and he could shed no better light on it. If you do find it, please share it as I am now curious as well.