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
"There is a vitality, a life force, an energy, a quickening that is translated through you into action, and because there is only one of you in all of time, this expression is unique. And if you block it, it will never exist through any other medium and it will be lost. The world will not have it. It is not your business to determine how good it is nor how valuable nor how it compares with other expressions. It is your business to keep it yours clearly and directly, to keep the channel open. You do not even have to believe in yourself or your work. You have to keep yourself open and aware to the urges that motivate you. Keep the channel open."
— Martha Graham