One such "237" was spied in the 1937 monster comedy Sh! The Octopus. It shows up as a room number, specifically here, with Marcia Ralston.
As to Room 237, it may serve a special function in this film. After the lighthouse explodes, and the viewer assumes the movie is over, it is not.
There is a fade to a scene in a hospital where a major character "is on a bed, flailing about and being attended to. Turns out he fainted because of all those pills he was taking in the car at the beginning of the movie." Marcia Ralston and another actress "are nurses at the hospital, and [one] points this out in a manner that’s extremely similar to the final scene in Wizard of Oz 2 years later. So all that stuff that just happened? Never happened," writes the reviewer Stacia on April 15, 2008 (here).
Also, the deeper twilight language of having the character "Captain Hook" in Sh! The Octopus is an enigma. In 2010, I wrote of the mysterious series of deaths of young children, all killed in similar ways via hangings from hooks. The deaths often occurred due to coat hooks, sometimes in closets, sometimes in bathrooms. That essay appeared on January 24, 2010, under "The Peter Pan/Hook Deaths." I followed this on February 27, 2014, with "New Hook Death." In 2017, I updated this phenomena with a new posting.