“I live in Tiburon, CA. I own a swimming pool and have a legal easement, with my next-door neighbor, that his tenants can use the pool. If one of his tenants were injured, on my property where the pool is located, would I be legally responsible?”
The long answer is, it depends on precisely why and how the person became injured. But the short answer is yes, you should expect to be sued (as will your neighbor). Make sure that you have adequate insurance, and that your insurance company knows about this easement and has explicitly agreed to cover it.