Copyright protects the expression of an idea, not the idea itself. That is, if you write a story, whether true or fictional, you own a copyright in the exact words that you used to tell that story. No one else can reprint your words without your permission.*
You do not own a copyright to facts or ideas.
So if, say, you were one of those trapped in that cave and you wrote a book about your experience, copyright law means that no one else can copy the EXACT WORDS you used in your book, or words so close that they are obviously copied. But others can freely rewrite your experience in their own words. Like if you wrote, "I was trapped in a cave for 30 days with no food or water", and someone else wrote, "So-and-so found himself unable to escape from a deep cave. He was there for 30 days without sustenance or liquids", that would be perfectly legal.
There was a court case many years ago -- I suppose I could dig up a reference if necessary -- where a newspaper was taking stories from another newspaper, rewriting them in their own words, and printing them. A court ruled that this was completely legal.
For example, a news agency doesn't own the fact that Mr Jones won the election for governor just because they published it first. They can't stop others from reporting that Jones is now governor, or sue any member of the state legislature who refers to Jones as the governor. They own the words they used to report this event, not the event itself.
- There are some exceptions, like others can reprint short quotes for review or commentary, like someone else could quote you to explain why he agrees or disagrees with what you said.