foul tip or foul ball

[shipwreck]

I seem to remember this discussion a while ago but don't remember the answer. We had this happen today in a HS Federation game. 2 strikes and the batter hits ball directly and sharply back. Ball first contacts the catcher's mitt and then her chest protector. She then grabs the ball with her bare hand and secures it against the CP. The rule book says it is a foul tip if the ball goes sharply and directly to the catcher's mitt or bare hand and is secured by the catcher. It doesn't mention what happens if it happens in the order that I describe. It seems to me both requirements for a foul tip have been met but am not sure if when it hit the CP if that made it a foul ball or not. I cannot find an exact play like this in the case book. Any help would be appreciated. Dave