I don't have a definitive answer for this, but "Now my love has gone to France" may show some connection. A lot of the Wild Geese frst went there to fight for the French army, as a way in part to continue their war against the British.

The reference in the version quoted by Skarpi above is more direct, as the 'Wild Geese' (the original ones at least) left after the losses to the forces of King William of Orange in the Jacobite wars in Ireland (1690s). But many versions of the song I know make no reference to the "Wild Geese" apart from the "gone to France" line.

I'm not sure I know a song called "The Wild Geese" although I've heard many about them. Can you point me to a version?