Just out of curiosity, what did you mean by her hands fluttering and shaking? If she flaps her hands and has sensory issues (needs to self-regulate by wiggling, etc., and has difficult recognizing when singing is appropriate or too loud), it may be worth assessing whether she has an autism spectrum disorder like Asperger's. One of my kids seems like an ADHD kid in many ways, but the neuropsychologist who assessed him thought that those symptoms were related to an autism spectrum disorder, not ADHD.