Update: having a professional ride your horse
The lady that runs the barn that I'm moving Carolina to is going to ride her for me and see what she can do with the right cues.
So that's kind of exciting!
And I've had some luck. The Performance Horse Registry will be sending me a DNA kit for Carolina. They are going to try and match her to the registries here in the US. The ISR/Oldenburg Registry is also helping.
I have confirmed that Carolina does not have a JC tattoo.
So in case anyone was interested that's where things are right now. Thanks for reading!