Apparently, "Ma Normandie" is the former anthem of the province of Normandy, and is the official anthem of the Bailiwick of Jersey, a British Crown dependency consisting of several of the Channel Islands, most notably the Isle of Jersey. Interestingly, since the Bailiwick is a separate entity from both the United Kingdom and France, it's not part of the European Union.

For the dot-challenged, here are a few YouTube clips:
http://www.youtube.com/watch?v=Xk8aDQf2mBc (art song treatment)
http://www.youtube.com/watch?v=c94EYKmFnhs (movie clip, background music featuring a vocal trio)
http://www.youtube.com/watch?v=XwKpE9e3h-c (folky, with introductory mooing)