ladonnav2,
Too many people make a big deal out of buying a timeshare from a private owner. It's really quite a simple process to be perfectly honest. In fact, I am in the process of selling my ts as I am writing this.
After you have agreed upon a buying price with the seller, the first thing you need to do is put the responsibility of the sale back into the seller's hands. If he or she wants to sell bad enough, they will do whatever it takes.
In order to transfer/change ownership, the seller must obtain a Quit Claim Deed Form from the resort's Deeding Office. Every resort has a Deeding Office. After the seller tells the Deeding Office what week number they own and the unit number, they should receive back in the mail a blank Quit Claim Deed, a return for transfers of interest in real property form from the ts state's dept. of revenue, and a cover letter stating to the seller what the parcel identification number is. The seller will need that # to complete the return form. As the buyer, simply work together with the seller after he or she obtains these necessary forms to speed up the process.
In most cases, when you have completed the forms, simply return them to the state's comptroller to have the new deed recorded in the buyer's name at minimal costs, depending upon the state's recording fees.
The entire process should only take about a month (recording with the dept. of revenue consumes most of it) if everything is done properly.