We had some discussion about that car some months ago on this forum and on RPN. I would have to review all of that as there were lots of questions posed and answered. Basically, that is not an historical car from the LLB&C. If I recall correctly, it is a full size freelance model that was lettered for LLB&C. Some of the parts came from the Quincy & Torch Lake coach/caboose which had been used for a building on a farm along the line.
I will dig up the other threads because about all I recall for sure right now is that this was a very confusing story behind this car.