I don't know if DS was abducted or not, or whether FG or someone else she may have known abducted her...but I can say that it does not take much for a stalker to become a stalker. I was singled out for stalking when I lived in Ann Arbor on two separate occasions over the ten years I lived there. In one occasion, a homeless guy had written a bunch of stream-of-consciousness "poetry" and taped it all over a wall, and I found it fascinating and stopped to read it. He took that as interest in him, quickly learned my routine and class schedule, and popped out of random store fronts as I walked home, thrusting photocopies of his poetry at me. I altered my route home and a new semester came which changed my schedule entirely, and I didn't see him again after that, but it was a very weird few weeks.
On a second occasion, later, when I was a graduate student, I met a guy in a bar one night when I was going through a tough break-up. I was there alone with a book because I couldn't stand to be in my lonely apartment. He was there alone and struck up a conversation. I was super-lonely and happy to be talking to someone, but had absolutely no interest in him (or anyone) and just saw it as an interesting conversation with another graduate student. After that one encounter, that ended when I left the bar that night, the guy stalked me for -- literally -- years after that. First, he dropped a note (asking me to call him if I was interested) at my table the next time I was out with friends, and when I did not respond he started coming by my apartment and ringing my doorbell just after I turned out the lights almost every night, and persisted even after I answered the door and told him to stop. Then, when I finally told him via email in no uncertain terms that what he was doing was stalking, that I was sure he just didn't realize how threatening his behavior was, and that I would report it both to the University and the local police if it didn't stop, he wrote back "understood," and stopped coming by my apartment, but continued to lurk in the periphery for several years after that, having his lunch on a bench right outside the building where my lab was, showing up repeatedly at different bars and music venues that I frequented, having coffee at the same time and place I did. I could never prove that it was actually stalking, and it did not seem that he planned to do me harm, but all of my friends kept saying it could not possibly be a coincidence.
He eventually was banned from one of the bars I liked, so I continued to go there, and after that left his graduate program and moved out of town, so I stopped seeing him. But I feel like it would have gone on for even longer if one or the other of us hadn't left town.
Anyway, this is all to say that it REALLY doesn't take much of an interaction to attract a stalker.