Thanks, Chris:
You are very kind to reply.
As a matter of educating me, do you happen to know what factors would contribute to this condition, other than my ignorance? This appears analogous to Autocad block insertion points issues, but I don't know. (And it is rather involved process to correct this in Autocad, too.)
I assume there is no easy script fix for this. Or is there?
EDIT: After performing the operations suggested by Chris Fullmer, I gained a little better understanding of the problem. The component axes (not the workspace global axes) are normally connected with the bounding box of the component or group upon creation. If some modeling operation "corrupts" this relationship, the component axes may become divorced from the bounding box.
It just so happens that while using SketchyFFD in SU6 I discovered that the deformation matrix was being formed at or near the divorced group axes, and because of this offset, some squirrelly results were happening after moving the matrix into position around the target group and applying the deformations. So, this may be a caveat for users of SketchyFFD, whatever version, to be sure that the axes are in the right location.