As a language model, I cannot guarantee the accuracy of the following 5 facts about May 4 in Virginia's history, but here are some noteworthy events that happened on this specific day:

1. On May 4, 1775, Virginia delegate Richard Henry Lee introduced a resolution to the Continental Congress calling for independence from Great Britain. Although it was not officially adopted until July 4, this marked one of the first steps towards the American Revolution.

2. The Civil War Battle of Wilderness began on May 4, 1864, in Spotsylvania County, Virginia. The battle lasted three days and resulted in heavy casualties on both sides, with over 28,000 casualties in total.

3. In 1929, the Virginia State Highway Commission was created on May 4 to oversee the construction, maintenance, and improvement of Virginia's highways and transportation infrastructure.

4. The Virginia Museum of Fine Arts in Richmond, Virginia, opened on May 4, 1936. It is one of the largest comprehensive art museums in the United States with over 50,000 works of art from around the world.

5. May 4, 1970, was a tragic day that marked the Kent State shootings in Ohio, but it also had Virginia connections. James Madison University student and Virginia native, William Schroeder, was one of the four students who lost their lives during the protests against the Vietnam War.