I feel bad writing about this beach as I loved it and want to keep it a secret. However, Jobson's Cove is not a secret at all, I was just lucky that on the day I visited there was only one other couple there with their daughter, and they left after about half an hour. It was really secluded and then a family of HUGE parrot fish arrived to feed off the rocks. A wonderful evening at the beach ensued. I only wish we could have waited for the sun to set.
Just a warning, if you've got small kids there is a nasty current near the opening out to the open sea. I'm a very competent swimmer and was really struggling not to crash into the rocks when the waves rolled in.