Hi Kat123,
Welcome to YorkieTalk and congratulations on your yorkies and yorkie puppies. I look forward to pictures as your time permits.
My late senior yorkie, Katy, did move her food dish, but not often, not far and not with any consistency.
These little ones are smart and resourceful; they can also be mischievous. The question you're asking Tessa is which is which when it comes to her food.
See article published by
Whole Dog Journal, "
5 Reasons NOT to Free-Feed Your Dog," last updated 2018, especially concepts of "food guarding."
While the article highlights the reasons to serve your pets meals (rather than free feed), it covers a wide range of issues. In particular, the sections "...indicator of health," and "Prevent Guarding" contain information or offer tips that may be helpful.
Suspect I don't need to say this, but you probably want to rule out health and well-being with a visit to the vet before managing this as a habit to break.
Does any of this help?
Welcome again. --KatysMom.