Ownership of the timeshare will pass either by the will or through intestate succession. If the will does not specifically mention the timeshare, then it passes under the residuary clause covering all property not otherwise listed. To establish a good chain of title, a copy of the will should be recorded in the county where the timeshare is located, but that often does not happen.
In cases of joint tenancy or tenancy by the entirety, if one owner dies, the remaining owner(s) authomatically get the deceased owners share.
Intestate succession is governed by state law and sets out rights of inheritance where there is no will.
It is the heir(s) who inherit the timeshare should discuss deedback, not the executor or administrator of the estate.
Inheritance issued can often cause problems with timeshares. Sometimes one is left to someone who does not want it. When I was an HOA president, we had a longtime owner whose wife had predeceased him and he had no children, and he left his prime summer timeshare week to his church. I got a call, referred by our manager, from a church official. They did not want it. I tried to explain that the week had value and how they could sell it to get money for their church, but he was not interested and just wanted to give it back. So we took it, sold it, and put about $4,000 into our HOA account.
There was one that had happened before my time that was listed on our master owners list with two prospective owners and the notation "title problem". An owner had died in another state, leaving the timeshare to a relative in the will. The estate had paid one year's m/f from the estate account. Then a deed for the week was recorded but there seemed no obvious connection between its grantor and the person who had inherited the week in the will. The longtime HOA secretary had driven to the courthouse (it was in his home state of Virginia) and got the address from the estate file of the heir to the week, but the mail to that address was returned. He concluded there must be a missing deed in the chain of title, and the new deeded owner paid the m/f's and used the week. A couple of years later, the HOA received a copy of a deed from the heir in the will to someone else. That person would obviously have superior title but never paid an m/f or tried to use the week. The HOA secretary wrote that person and explained the situation but never got a reply. Both were sent newsletters and bills for years, but only the one with the inferior title ever responded.