Interesting. I have some small comments, though.

The Dutch Legion of Orange did not fight it's way to the Netherlands. The 1st Battalion arrived in Utrecht on 18th January 1814 unclothed and unarmed and there immediatly was armed and equipped to take part in the war effort. The 3rd Battalion arrived in Zwolle the same way on 3rd March 1814 but was equipped more gradually.
Only the 2nd Battalion had been clothed and equipped from British stores while still in Germany. This must have started after the 1st Battalion had left for Holland and as the 2nd Battalion arrived in Deventer on 1st March, they cannot have had time to do much fighting once equipped.

Even though the 2nd Nassau Regiment did defect and might have been counted as a contribution to the allied cause, the 1st Regiment and the cavalry did not. The Duchy of Nassau therefore still had to raise a regular Regiment (the 3rd), a Landwehr Regiment (militia) and a Landsturm (local defense force).