interrupted dribble

[Dbyb]

Girls JV game last night. A1 is dribbling in the front court and dribbles the ball off her foot and loses control. She chases the ball down and picks it up with both hands and dribbles again. No defensive player has touched the ball. Am I correct in assuming that even though there is no player control during an interrupted dribble (4-15-5) that A1 is still considered a "dribbler" for purposes of 9-5? So that when she grabbed the ball it ended her dribble and thus a double dribble in this situation?