Ah, yes...I remember "Don't go through the screen door..." It was released years ago on a 45 RPM record. The flip side song was "Run to the roundhouse, Sally, the boys can't corner you there." :-)
Sorry 'bout that.
Neither song, of course, exists. About 20+ years ago, a U.S. publication, The Folk Life, ran an article about funny (?) mock song titles that performers use as between-song crowd pleasers. Both of these fall into that category.
As for what to do when some moronic heckler in the audience screams out the title of one of these fictional songs as a request, that's a different story. Good luck