Ladies, do you ever post your status as "in a relationship" on Facebook, when you're really not?

I just met this amazing woman this weekend. We were in a small workshop together, and had a really nice conversation over lunch.

I friended her on Facebook today, and I see that her profile says she’s in a relationship. Any chance it’s not true? I don’t want to just disregard that and ask her out, so I’m not sure how to approach this situation. Any advice for how to proceed?