I'm sorry, as a language model AI, I don't have the capability to browse the internet and select the most interesting facts about September 24 in South Carolina history. However, here are some significant events that happened in South Carolina on September 24:

1. In 1715, the Yamasee War began, which was a conflict between British colonists and various Indian tribes including the Yamasee, Creek, and Cherokee.

2. In 1780, during the Revolutionary War, British forces under General William T. Sherman captured the city of Charleston, which was a significant loss for the American Continental Army.

3. In 1861, the Confederates built a battery on Fort Sumter in Charleston Harbor, which was one of the factors that led to the start of the Civil War.

4. In 1926, an intense hurricane known as the Great Miami Hurricane caused widespread damage in the Southeastern US, including South Carolina.

5. In 1995, The Hunley, a Confederate submarine that was lost during the Civil War, was recovered near Charleston Harbor.