Should I ask out a single mom over Facebook?

[C]

I went to high school with this girl on Facebook and am interested in asking her out. I never knew her in high school but I remember seeing her a lot. I knew a couple of her friends but I never shared any classes with her.

So is it right or wrong to ask her out over Facebook? And if it isn't wrong what are some ways I could do it without coming off as a creep. I don't really know her situation just that she is a single mom with a little boy (3-5 years old). I don't think the fact of her being a single parent will bother me it will just be different. I haven't really dated before and online dating hasn't gotten me anywhere so I thought I would try some nice girls that my friends knew on Facebook.