Eyes won't follow mesh for animation I'm trying to experiment with an animation. When I move some controllers, the eyes start to stretch after a certain offset.
Here is the blend file

I used automatic weighting, the metarig and the generated controllers. Some of the controllers don't work as planned, but I can managed to make some poses. I also deleted the WTGS rigs.

EDIT: the eyes are not eyeballs, they are a separate mesh, along with the hair, which is consisted of bezier curves.

https://gofile.io/?c=m5eyWj
I'm not sure what you want to do exactly, but I just deleted all the vertex groups for the eye mesh except DEF-spine.006 and assign 1.000 weight to all verts of the eyes mesh then moved the armature modifier above the data transfer modifier, and they move with the head bone (DEF-spine.006 is the head deform bone, I think).  GL OP