RIGHT SENTIMENT, WRONG DAY:  On this day in 1776 (and not July 4th), the Continental Congress voted for independence from Great Britain.  The next day, in a letter to Abigail, John Adams rhapsodized:

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.

Yes, we did eventually come to celebrate Independence Day with parades, bonfires and illuminations. But we chose the 4th of July (the day the Declaration of Independence was adopted and signed) rather than the 2nd of July when the vote for independence was taken.

Here’s one way the difference might matter:  Choosing the 4th made Jefferson the most significant figure in the story, since he wrote the Declaration. If the 2nd had caught on as the day to celebrate, it would have put Adams more at the center, since he was the more important oral advocate for independence.