It sounds to me, like the current school is willing to work with you since they allowed early entrance and an accel. My thoughts are, have this school test, accelerate her before she leaves the school (in writing, not necessarily skipping the grade now, but so that once the acceleration is in place, the new school has to honor it anyhow and won't need to be involved in a student they aren't familiar with at all, where as the current school knows her abilities! Not sure the private school is all it's claiming to be based on what you are telling me.
