Illustrator :: Copy Parts Of Layers From One AI Doc Into New One With Same Layer Names?

How do I copy PARTS of layers containing many objects from one CS5 AI (v.15.0.2) doc into a new CS5 AI doc and keep/create the same layer names?
 
To start with, I have one fairly complex AI document with 100 layers,  with several hundred items in each layer. For example, one layer named "Stars" contains  400 separate stars (not grouped), another layer named "Crosses" contains 300 separate crosses, and a 3rd layer named "Text" contains 200 separate words (not outlined).
 
If I select, by marqueeing a section of the image/artboard, some (but not all) of the individual items contained in the several layers, then  paste that selection into a new CS5 AI doc, I cannot get them to  create new layers of the same name. Instead they go into one general layer (e.g. "Layer 101") as a jumble of discrete, but unorganized objects (no layers or sublayers). In other words, I have lost the 3 main layers from which I selected a bunch of objects.
 
Checking "Paste Remembers Layers" has no effect on this result. In fact "Paste Remembers Layers" does not remember layers at all. Only if I select ALL the items in the several layers will it paste those layers by those names into the new doc (or create new layers of the same names).
 
Of course it is a COLOSSAL waste of time copying the ENTIRE document, then pasting the WHOLE thing into the new doc (with layers retained), then deleting the parts I DON'T need.