Jeff, there is nothing wrong with the position of the hand in this picture, it is very common especially when a girl is throwing a riseball. Hand under the ball is quite common and actually a good thing.
Iz, it sounds to me like the term wrist snap is getting in the way, the wrist does not cock back so it cannot snap forward. Doing 'wrist snaps' as commonly taught, with the wrist flipping back and through, will actually encourage bad mechanics. If this is what the coach wants then he does not understand the finer points of the pitching motion.
I know it is a good thing, and it shows good IR mechanics. This is the picture of the arm circle of the same pitch. The elbow is almost locked out allowing for very little whip at the bottom, that is where my not a model pitcher comment came from. She is on my daughter college team, and she said that she hit 67mph during that game. She is a model of inefficiency, but some how it works for this particular girl.
My comment was towards JoJo in trying to get his student to forget the emphasis on snapping at the bottom. Maybe Boardmembers' show it and throw it drill might help her out.