How do I take my brother’s name off our joint time share?

Well, the easiest way is to have your bro sign over his interest but deadbeats tend to imagine the the world (or at least that sliver of the world unfortunate enough to share their DNA) owes them. Nobody buys a timeshare for cash (people who have cash are too smart to blow it on timeshares, magic beans or pirate treasure maps;that's why they have cash), so you can offer to take his name off the loan. Since timeshares aren't worth anything, what difference does it make anyway?