What education does one need to be called "Professor" in the United States of America? What education does one need to be called "Professor" in the United States of America? A woman with a law degree in a junior college paralegal program insists on being called professor at a local community college. She is the only one in the whole school that does this. Is this normal?
I completely agree with the answers by ff524 and Pete L. Clark, but I'd like to highlight one issue that's in the background here, regarding whether this behavior is normal.  When someone makes a point of emphasizing a professional title, it might be because they are pompous, but they might actually have a good reason for it.  It's difficult to do your job well if the people you are interacting with don't maintain an adequate level of respect and professionalism, and insisting on titles can be an effective way to control the tone of your interactions.

Whether this is helpful is often correlated with gender or race: many white men are treated respectfully by default, while women or minorities sometimes find that students or colleagues interact with them in troubling ways that don't arise nearly as often for their white male coworkers.  For example, students sometimes expect unreasonably forgiving and nurturing behavior from women and react harshly if they don't get it, students sometimes disrespect women in class and try to challenge or undermine their authority (for no intellectually compelling reason), etc.  Of course this doesn't always happen, but it's a real problem for some people.

Insisting on the use of a formal title is one way to address this issue.  You run the risk of looking pompous or uppity, but you are willing to take that risk in exchange for reminding everyone of your position and your desire to maintain a formal and respectful tone.  This may not be the best solution in any given circumstances, but it works well enough that it's reasonably common.

So my recommendation is to approach this issue with some charity.  If you hear complaints about someone insisting on a title that nobody else cares as much about, especially a woman or minority, you should keep in mind that it may be their way of dealing with a difficult situation.