The 'why', the motive, is what is so puzzling to me. I think it is almost obvious that if the killer or killers wanted one or both of the parents killed, for whatever reason, they would have killed Jayme as well. That they killed the parents and took Jayme almost makes me think she was the objective. (Of course, we also have a case like the Freeman/Bible case in OK where the father was the target and the mother was killed because she was a witness. The two girls were almost an after thought to take them rather than kill them at the scene.)
So if Jayme is the target, why take her? I almost rule out trafficking as those criminals do not like high profile victims as they attract too much attention. If they use her as a prostitute there is too great a chance someone would recognize her. Of course, that is not to say there is a small chance someone tried that and might have tried to sell her to traffickers only to learn they would not want a high profile person who could jeopardize their entire operation. I lean toward someone with an obsession for her, sexually.
Outside of that....revenge. Maybe some slight - real or perceived - on her part. They take her for that reason. (I hate to think how that scenario turns out.) I don't give this one a high or even moderate possibility. If so, I see a chance of someone bragging now or in the future.
Another is she saw or heard something and the killer(s) want to know who she told and what she knows. And they want to take their time with that thing. (Again, I don't like to think about how this one turns out.) Or by mistake - the killer(s) mistook her for someone else or they mistakenly thought she knew something. I give this scenario only the very slightest of possibilities.
In that small a community, I would think someone heard something said - either by Jayme or someone else - that can lead somewhere.
