Ok, now I've seen your capx I understand what you were asking.
I've modified your capx so that the images you create from double-clicking won't change.
Basically what I did was give them a Boolean instance variable which was true if it's the click- able object and false if it's the draggable one.
I also used a local variable to save the frame of the click-able object, so I could set the correct frame for the created object.