I, too, remember the "Dave & Charley" show of 1950. It was a daily 15 minute program on NBC-TV which I was able to watch during my summer break from high school that year. If memory serves, Dave Willock played a streetcar conductor, and the setting was sometime during the early 1900s.
The show's theme music was a catchy ragtime tune which I have been trying -- unsuccessfully -- to find for the greater part of the last 50 years. Recently I inquired of ragtime expert Max Morath if he knew of the program and, if so, the title of its theme music. However, he had no recollection of it and therefore was unable to help. Over the years I've purchased many ragtime LPs by various artists in hopes of finding one that contained my mystery tune, but to no avail. So, I'm still looking!