Thanks for answering! Here is the longer explanation

I am using La Femme Pro - tried it on La Femme 1R1 too with same results.

I used Deecey´s Bodykit morphs, the standard morphs that comes with the figure and some custom morphing in the face area.

The face/body chips are misplaced too - they stay where they are on the standard La Femme. 

I have saved the morphs in a cr2 - and think that the problem is not in the morphed figure - she behaves normally. See:

I have used Spawn Morph Target and then exported as INJ.

As long as the morph is just spawned in the figure it works. When I Inject this happens:

It could probably work with the obj-export/import but I really want to have the bodykit morphs for when making clothing fit, that would be a lot easier than having to morph clothing from scratch.

I tried the Match Centers to Morph- suggestion on this one - and it worked! But how can I tell the inj to do that?

Thanks for your time!