Woof.  I tried similar things a couple of years ago.  I had a version of Eve with the Judy genitalia added.  The process broke the morphs and I had to try to recreate them.  No fun.  I am no Traveler!  :-P

I added Traveler's VgenHip, posted way back when at Thralldom.org, to V1, at one point.  I worked out a complex method for transferring the morphs, using the Grouping tool and the re-order vertices option in UVMapper Pro.  That worked fairly well.  Unfortunately, the VgenHip was not allowed to be redistributed.

So it looks like TDMT would need to compare the original Eve genitals to the body part you've spawned from them.  I think I still have a fully-functioning Eve somewhere in my library.  If you want, I can work on the morph transfers.

The Eve genitals have something wrong with the geometry, at least the version I worked with.  The mesh could not be imported properly into Wings.  I never figured out why.  It might have been due to what looked like a few holes in the mesh, which were hidden in the interior areas.  Hmm.  I stopped using them, then, because I couldn't use my available tools to morph them.  (Edit: Oopsie.  DPHoadley already mentioned that....)

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Cage can be an opinionated jerk who posts without thinking.  He apologizes for this.  He's honestly not trying to be a turkeyhead.

Cage had some freebies, compatible with Poser 11 and below.  His Python scripts were saved at archive.org, along with the rest of the Morphography site, where they were hosted.