I met my husband through an online dating site. We've been together going on seven years now and are very happy. We corresponded and chatted online and talked on the phone for over a month before meeting. The meeting was beyond either of our expectations and here we are.
Before that though, I met half a dozen people who didn't work out. I always met them at the mall food court so that if they didn't show I wouldn't feel nuts, and so that security would always be nearby.
I learned that people can be very different in person than they seem online. I enjoyed meeting people in person and was never rude, but the main benefit of it was that I was able to weed them out fast, whereas if we'd have kept up the online stuff I'd be tied up longer with a person who wasn't right for me.
Honestly, most of them were doing 'girlfriend' interviews. Asked me lots of questions, wrote down the answers, it was kind of weird. I rarely got a word in edgewise. My husband was the first one who liked to have real conversations. So if you decide to meet these women, try to be yourself and not act like you're interviewing someone for a job! Try to just relax and listen for at least half the time.
Good luck to you! It can work. My daughter also met her husband online at a dating site, and they are expecting the first child now.