I just read a history of the American Revolution. When General Cornwallis surrendered to George Washington after the Battle of Yorktown in 1781, two tunes were played.
One was 'The World Turned Upside-Down,' and the other was 'The White Cockade.'

The story about the World Turned Upside Down is an urban legend created long after the event. Google for it.

The White Cockade was the original tune for The Red Flag. Anyone know why it might have been chosen?

BTW I've never heard The White Cockade done as a 6/8 march but it seems to work:

  X:1
  T:The White Cockade
  Z:Jack Campin * http://www.campin.me.uk/
  M:6/8
  L:1/8
  Q:3/8=90
  K:G
  G|B2B B>AG|B2B B2g|d2B B>AG   |F2A A>GA|
    B2B B>AG|B2d g2a|b2g e>fg/e/|d2B B2 :|
  B|d2B g2B |d2d d2B|d2B g>fg   |a2A A>GA|
    B2B B>AG|B2d g2a|b2g e>fg/e/|d2B B2 :|

There is a Green Cockade in the American colonial and Civil War fife tunes file on my site. Who in American history wore those?