Hmmm, I'm trying this, and I'm getting a long hank, not a ball. I can't picture a way of doing this around your hand, so you'll get a ball that won't fall apart on you, simply because one's hand is so wide. ?? Do you have a picture of what the finished ball is supposed to look like?
I just uploaded a video last night on how to wind a center-pull ball. This is how Elizabeth Zimmerman did it, and it works well. It's on the Basic Techniques/ More page. I don't know if it's what you're looking for, but I'll mention it, since it sounds like it....?
Hope that helps!
KnittingHelp Queen Bee
"Don't ask yourself what the world needs. Ask yourself what makes you come alive and then go do that. Because what the world needs is people who have come alive." Howard Thurman