Well, this is the first time I have ever done this stitch and I am loving it. This stitch does not follow the general rule for lefthanders. In this stitch you do not work from right to left but from left to right.
Bring your thread up from underneath, take your thread over towards the right, insert your needle just above the thread and bring it back up just under the thread, as pictured. Hook your thread under the needle and pull your needle gently through to form a small loose knot. Follow this same procedure over and over, working towards the right. Voila, the very pretty decorative stitch.
I have added an extra line to the crazy patch block in the coral stitch as you can see in the photo below.