Why do so many women lie about having stalkers on Facebook?

[Hollywood Jono]

They act like they are famous celebrities or people who led interesting lives that others would want to stalk. But in reality their lives are pretty boring and mundane. Every other post aside from something related to their alleged “stalker” tends to be about their children, cats or co-workers something or someone other than themselves as they just aren’t as interesting as they’d like you to believe. Is this why they feel the need to invent someone to stalk them on a social media site?

[Daniel]

Some May Do it To Make them Seem Popular

[Kubar]

They would do it to seem 'cool' or 'popular'.
Men do it too, but about different things, we exaggerate a lot of things, it comes down to the persons personality. SInce Facebook is 'the thing' right now, people will want to appear cool and popular on facebook. For someone to stalk you, you would need to be cool/popular or famous.