Here are my results -- a straight V3 to V4 shape copy to put V3's Head on V4.  I used "V4 to V3" as my target character.  The alignment is nearly perfect when both figures are zero'ed.  Steps I followed:

1. Load V4 to V3.
2. Load V3.
3. Set V3's Head as my source.
4. Set V4 to V3's Head as my destination.
5. Analyze meshes.
6. Copy Shape.
7. Set Head_shape Morph to 1.

Nothing happens when I try smoothing.  Maybe I'm doing something wrong.  Can you advise me, please?