I wondered about that.
This is almost certainly what folks on TUG refer to as a "postcard company" or PCC. If you are a timeshare owner, eventually you will start getting mailers inviting you to a "free steak dinner" or some such to discuss options for getting rid of your timeshare. At this event, they will deliver a fire and brimstone presentation about the risk of tens of thousands of dollars in special assessments, "saddling your children with a useless timeshare," ever escalating fees, etc. etc. etc. After that, they offer some way to relieve you of this burden, starting with paying a very reasonable few thousand dollars up front to start the process.
It can go in a variety of different directions from here, but they all end up giving the original owner a VERY large haircut, if they get any money at all. One very common tactic is: keep the timeshare in the original owner's name. Once a buyer is found, transfer from the owner to the PCC for $1, then from the PCC to the seller for the agreed-upon price.