The method of removing names is to have those on the deed transfer their interests to the ones you now want to be considered the owners via a new deed. It is fairly easy to do, the cost is essentially whatever transfer and recording fees or taxes are charged by the county agency in Florida that records deeds, and you can do it by getting necessary information and forms from Disney, UNLESS (a) the existing deed does not have a right of survivorship clause, or (b) there is possibly any issues concerning your power of attorney for your father:
When your parents purchased they received a deed that said the transfer was to them as "Husband and Wife," unless they specifically requested a different type of deed. That Husband and Wife designation created a Tenancy in the Entirety in Florida, the strongest form of joint tenancy with right of survivorship, and if one of them died, the other would automatically become the owner with the ability to make any future transfers and without the necessity of putting the property through probate. What I do not know is what was actually done when they "added" you to the membership:
1. Did you actually become owners at that time via a new deed or did they just add you as associate members to the
DVC account? If the latter, you are not actually owners of anything at this time and your father is currently the sole owner pf the timeshare and he could transfer to the two of you with designation as husband and wife to create that ternancy in the entirety.
2. If there was an actual transfer via a new deed when you were added so that all four were shown as owners on the new deed, then the issue becomes how that particular transfer was designated for survival rights. You could not use the "husband and wife" designation for tenacy in the entirety in that situation because you had more than one husband and wife on the deed. But the deed could have designated that the transfer to the four of you was in joint tenancy with right of survivorship, in which case your father, your wife, and you would currently be the only owners and the three of you can now do a transfer via a new deed to your wife and you.
3. If the current deed instead says something like "tenants in common" or nothing that mentions right of survivorship, then you have some issues that need resolving because when your mother died, the property did not automatically become 100% owned by the remaining persons named on the deed. Her interest in the property would be subject to going through a probate proceeding in Florida to complete any transfer called for in the will, or if no will covered the issue, a transfer likely to your father that would result when a will is silent on the issue.
Added to the above issues is that you apparently want to do this transfer for your father by exercising your Power of Attorney. That is an issue that sets off an immediate warning that you may want to see an attorney about this transfer. I do not know what your power of attorney provides and how clear it is in allowing you to transfer real property interests of your father or permitting you to make such transfers via gifts to yourself (e.g., powers of attorney that just generally give you power to do anything actually do not allow you to make gifts, particularly to yourself, which the transfer of your father's timeshare interest would be, because gift giving is a power that usually has to be specifically spelled out in the power of attorney to exist). Frankly, if you have any brothers or sisters, you should likely be in contact with an attorney because if there is any issue at all about whether you can engage in such gifting to yourself, it could become the basis of an unpleasant family dispute later.