Yes, 'Cruel Doubt' is a true story. It shows how a situation can spiral out of control due to various factors like miscommunication, hidden motives, and the power of rumors. The real - life events it was based on served as a cautionary tale about how easily a community can be torn apart by false accusations and the inability to trust one another.
In many cases, works like Doubt draw elements from real life but are embellished or fictionalized to make a more compelling story. So, it might not be a straightforward true story.
Doubt is typically a work of imagination. It's crafted to entertain and engage the audience rather than being rooted in actual happenings. So, the answer is no.