Well, usually, such titles don't necessarily mean they're based on real events. It could be a work of imagination to thrill or engage the readers/viewers.
It's probably not a true story. Many times, stories like Room 37 are crafted to entertain and engage the audience through fictional elements and plotlines rather than representing real-life incidents.
Yes, it is. The movie 'The Room' has roots in a true story. Tommy Wiseau, the creative force behind it, has said that parts of his own life are reflected in the film. For example, the complex relationships between the characters might mirror some of his personal relationships. But the movie also has a lot of elements that seem very much like artistic license, so it's hard to tell exactly where the truth ends and the fictionalization begins. It has become a cult classic precisely because of this blend of the real and the absurd.
There's no way to tell just from the name 'room a true story' if it's a movie. It could be a movie, but it also might be a story told in another medium like a play or a written short story. It would depend on various factors such as if there are actors involved, if it has been filmed, etc.
In fact, 'Room' has roots in a true occurrence. The filmmakers took elements from a real story and transformed them into this compelling narrative. However, some creative liberties might have been taken to make it more cinematic.