'Transported with Enthusiasm'

Yes, John Adams was off by a couple of days. "The Second Day of July 1776, will be the most memorable Epocha, in the History of America. I am apt to believe that it will be celebrated, by succeeding Generations, as the great anniversary Festival. It ought to be commemorated, as the Day of Deliverance by solemn Acts of Devotion to God Almighty. It ought to be solemnized with Pomp and Parade, with Shews, Games, Sports, Guns, Bells, Bonfires and Illuminations from one End of this Continent to the other from this Time forward forever more." So wrote Adams to his wife Abigail in a letter dated July 3, 1776. The "most memorable Epocha" would come to be celebrated on the Fourth, of course. The Continental Congress voted for independence on July 2, announced it on July 4 (perhaps with some signatures on the original handwritten document), and formally signed the declaration on August 2, 1776.