Is there any way I could get in touch with this girl I like ?

So, I kinda like this girl (not only 'cause I sympathize her, but I also discovered we have almost the same interests in pretty much everything (hobbies, media, etc), and we are similar age. My mother worked with her father long time ago while he was still alive, like 10 or more years before, so she told me a lot of things about her family and I think I will get along with her great, regarding hanging out, speaking, etc....

The thing is, I sent her message on Facebook, but since we are not friends there and have no mutual friends, I highly doubt she will see it. I also can't find her name in the phone book despite knowing her name, and my mom also don't have connections with her family anymore.

Do you think there are any other way I could try to get in touch with her ? Tnx very much.