The British had developed a very effective device for throwing lead at an opponent on the battlefields of Europe in the mid 18th century, firing by platoons, sometimes three ranks deep, which kept an enemy force under a constant barrage. The troops had been rigorously trained to load and fire as quickly as possible with individual marksmanship unknown. This so impressed other armies, and later writers, that few seemed to notice that during the French and Indian war the British did quite a bit of reevaluating that tactic. Platoon firing clearly did not work at Braddock's defeat in 1755, though it did work quite well for Wolfe on the Plains of Abraham. But with much fighting taking place in heavily forested regions, the British did some soul searching and under the leadership of the Howe brothers developed light infantry who were trained to fight in open order, as skirmishers, and who were trained to individual marksmanship, such as was possible with the Brown Bess. During the revolution the British made good use of these light companies, often detaching these companies from their regiments and then massing them in battalion strength for special operations. At Lexington and Concord there were several detached companies of light infantry and they gave a very good account of themselves on the retreat back to Boston. Despite much nonsense being written about the British soldier from that period he was better trained, armed and supplied than his Continental counterpart and generally could be expected to defeat anything like equal numbers on any battlefield against anybody's army.
This changed with the year 1778 with better equipment coming out of the French Alliance but also because of the Training of baron Von Steuben, who not only taught the Continentals in how to use their bayonets for something other than roasting potatoes, but also taught them how to march in column (before then the Continental Army often marched in a single line miles long and almost impossible to form into a battle line in a short order). We today sometimes think all that training in how to march and maneuver a senseless preoccupation but the ability to get marching columns into line of battle quickly was essential to massing fire power. At Monmouth Court House in June of 1778 Washington intercepted the British army which had just evacuated Philadelphia and was on its way back to NYC. The number of troops was about even and with Von Steuben's training behind them the Continentals stood their ground and in a fight that seesawed back and forth for hours under a broiling sun (heatstroke killed many of the troops who died there) the battle ended in a tactical draw with casualties almost exactly evenly split. From that point on till the end of the war the Continental soldier was a match for any British soldier and that was saying great deal.