The name of the place is Pavilions and Pools on St. Thomas. You can easily find them via Google.
As I said, if you’re going expecting a five-star accommodation, you’re going to be severely disappointed. If, however, you want your own private pool, lots of privacy and a nice place to stay, then you’ll like it there.
Each place has it’s own kitchen. We brought our own meat (you won’t find kosher meat on St. Thomas) and a small George Forman grill. Basic stuff (fruits, veggies and other staples*) can be found in the local supermarkets.
The Wolf
(* We didn’t bring drinks because we figured that drinks would be the easiest thing to find. When we got to the supermarket, we found the Coca Cola easily enough… but were a bit shocked to find that it did not have a hechsher. While I would have bet dollars to donuts that it was, in fact, kosher, I figured that it was better to just play it safe and we, instead, had iced tea.)