Actually, it was in Lexington. In April. And I agree with you 100%!!!
The 18th, if I recall correctly.
I lived in Bedford, Mass, when Sergeant Dad was stationed at Hanscom Field. Went by Lexington Green frquently. Got shivers passing it each time.
The first shots of April 19th, 1775, where indeed fired in Lexington, but those served to disperse the Lexington militia. (They were greatly outnumbered, and went on to give a very good account of themselves later in the day.) But the shot(s) heard round the world were at the North Bridge in Concord, where the Americans put the British Regulars to flight. And flee they did, all the way back to Boston, with militia, including the Lexington militia, picking them off at every corner and from behind every rock. (I have a favorite rock along the reconstructed "Battle Road". When I stood there I felt transported back to that day. I could almost see the Lobsterbacks moving back down the road, and imagine taking a pot shot from behind that big rock. :) )
If not for General Percy bringing up a couple of small cannon, and the carriages of the Americans' cannon having been destroyed at Concord (The cannons themselves were hidden and took part in the revolution), likely not a single regular would have escaped death or capture. As it was, plenty of them died anyway.