How would you invite a stranger to lunch?

Well to keep from getting into too much unnecessary detail, I have become aware of someone through some friends who I would really like to invite out to lunch and get to know just because we have a lot in common regarding where we are from and who we know and what I want to do, and what she did. So I thought I would invite her to lunch. But, I am worried it will come off the wrong way or strange or creepy. Especially since I am a guy and shes a girl, and she really doesn’t know me. So, my question is, how exactly do I go about doing this.