I wasn't sure if you were referring to the opening battle of the Seven Years War ( or the French and Indian war for us colonials) for sure, that's why I asked.
I read Fred Anderson's 746 page "Crucible of War" when it was released back in 2000, with great interest, and learned how the 7 Years War lead almost directly to the Revolutionary War a decade later.
As the American soldiers served in the Armed Forces of Great Britain in the Seven Years War in North America, many American officers gained a great deal of confidence in their ability to meet with the Red Coated Army, the greatest military force in the known world....
Described as the First Real World War, it was fought on four continents, and removed the French from North America, and ultimately cost King George much of British North America.
And made young Lieutenant Washington the father of his nation, and a hero for the ages.
And yes, British Loyalists were most of the citizenry early in the years leading to the rebellion. But like all Revolutions, one did not want to remain on the losing side, for a number of reasons, including one's angry fellow citizens.
"Crucible of War" is a monumental work, well worth reading and understanding!
My wife is from the hills of western Pennsylvania, so I am quite familiar with Braddock's March to Fort Duquesne.