You weren’t entirely wrong; the application is named for the emperor, who was reviled for “burning” Rome. (Quotes for uncertainty around how literal that fire would’ve been.)
There was probably a large fire. As I understand, there was a conspiracy that Nero started the fire to clear land in the crowded residential areas to build a "palace"/equivalent structure. There really isn't much evidence to support this.
Though Nero did attempt to find a scapegoat for the fire.
Well, Tacitus was a fairly decent historian, and IIRC he says there was a fire, during Nero's reign - a fire big enough that Nero went looking for scapegoats to blame it on.