Mr. Burns might try to take care of him. Despite their strange relationship, Burns could feel some sense of responsibility or concern for his loyal assistant.
Jan in the 'jan and the rainy day story' is the focus of the narrative. Since the title mentions her name along with 'the rainy day story', she is the character that the story is likely built around. She could be someone with a unique personality. For instance, she might be a very optimistic person who finds joy even in a dreary rainy day. Or she could be a bit of a dreamer, and the rain makes her think about all kinds of far - away places and adventures. It's also possible that she is a person dealing with some problems in her life, and the rainy day either adds to her troubles or provides a backdrop for her to find solutions.
Mr. Burns would probably visit. After all, Smithers is his loyal assistant, and Burns would be lost without him. He might come with some strange 'cure' he heard about.
Jan Broberg is the person around whom the story 'the real Jan Broberg story' revolves. She could be an ordinary person with an extraordinary story, or someone who has made an impact in a particular field or community. Maybe she has a unique set of experiences that make her story worth telling.
The term 'jan day jan lay novel' is rather mysterious. It doesn't seem to be a common or recognized term in the general world of novels. It could be a unique code or title within a small community, or perhaps a new and unheard - of concept. Without further context, we can only guess at its meaning.
Yes, Jan could be an author of a novel. There are many people named Jan in the world, and some of them might be involved in novel writing. However, without more specific information, it's hard to be certain.
One popular Burns Smithers fanfic could be about their relationship in a different work setting, like if they were in a modern startup instead of the Springfield Nuclear Power Plant. Another might explore what would happen if Smithers finally got the courage to confess his true feelings in a really emotional way.
There might be such fanfiction out there, but it could be quite niche. If it exists, it may be in the more specialized sections of fanfiction communities. You may need to dig deeper by using specific search terms within those platforms and also checking related tags.
I'm not sure specifically which novels are directly related to 'jan day jan lay'. It could be some very specific or perhaps made - up references. There might not be widely known novels with this exact phrase.