The Barney true story is that Barney was a popular children's TV show character. It was a purple dinosaur who taught kids about friendship, sharing, and various positive values through fun songs and simple stories.
Well, Barney the Dinosaur was developed to engage children in a positive way. His bright purple color and friendly demeanor were designed to attract kids. The true story is that he became a popular figure in children's media, with a whole franchise built around him, including TV shows, toys, and live shows. All of these were aimed at making learning fun for young children.
The true story behind Barney could involve the ideas and motivations of the people who developed it. There could also be elements of cultural influence and audience reception that shape the narrative.
Barney Stinson is known for his wild tales in 'How I Met Your Mother'. His 'True Story' is more of a fun narrative he creates to get what he wants or to make himself look good. For example, he might tell a 'True Story' about his heroic deeds to impress a girl, but in reality, it's all part of his charmingly devious character. So, no, it's not a real - world true story.
I'm not sure who Tory Thompson specifically is in 'Based on a True Story' without more context. It could be a character created for that particular story.