the further in the more questions .
If this Lucy isnt her father than what did she manipulate the actual Lucy to do ? The terrorist acts?  Or is the info Shimizu got his hands on wrong , and the real Lucy was actually someone important.
If it was no one important then it must be just a figure to easily condition people into a certain mind set. 
What does her last phrase mean ?  Lucy is resting inside her head till the next experience ? Not familiar with "in the offing"