I have been googling a bit for photos of Chihuahua/Corgi mix dogs, just to see if my instincts regarding Baxter's heritage are correct. Yes, some of the pictures I have found have resembled him quite a lot.
I have also discovered that there are multiple names for this particular cross-breed. My personal favorite is Chorgi. I have also seen Corchi, and the most popular one appears to be Chigi. I think I'll stick with Chorgi, lol.
I am not happy that the designer craze has taken over the dog-breeding world. However, I say that if you really want a designer dog, make a beeline for your nearest shelter or rescue, and find one there. Not only did I get Baxter from a rescue, but Karla got a Puggle (pug/beagle) from a local shelter, as well. Adopt, don't shop.