Success! Looks like the best candidate is The Northumberland Fusiliers, more commonly referred to as His Majesty's Fifth Regiment of Foot. Weirdly enough, I remember a fair bit about these guys. I just didn't know their colors. It's actually a rather famous regiment.
First off, fusilier is a soldier armed with a light flintlock musket, called a fusil. While originally referring to the weapon and the people who used them, the term fusilier was adopted as a generic regimental designation that is still used today in Europe (such as France's "Air Fusiliers" which are the ground troops of the French Air Force).
As for the Northumberland Fusiliers, the regiment maintained a prestigious campaign record from its formation in 1674 through to its retirement in 1968 and serving as recently as the Korean War. With notable service in the American Revolution, it's most remembered for its later service a few decades later in the Peninsular Campaign against Napoleon, where it earned its somewhat famous the nickname "The Fighting Fifth". This used to get mentioned in a lot of textbooks, but it's been petering out as war becomes a less popular topic in schools.
As for Revolutionary service, the 5th Regiment was most noted by Americans and British for valor at Battle of Bunker Hill. More famously to the international stage, the regiment (roughly 1,400 strong) landed on the Caribbean island of Saint Lucia in 1778 and took it from a small French force stationed there. The 5th Regiment then defended the island from an advancing French force of roughly 9,000 soldiers, killing 400 Frenchmen and wounding 1,100 while only suffering 10 casualties and 110 wounded British soldiers.
Whew, that was a lot of typing! Probably way more than you were looking to know, too, but I figured you might enjoy some additional character background.