Success!
We crawled out of bed at 4:45 AM to make it to Madison in time for Juliana's parentage hearing at 9:30 AM. The judge kindly held it in her chambers, which kept Katie much more entertained than if it had been in the courtroom. ("Yes, Katie. That's case law. It doesn't have any pictures.")
And the end result is that
daisy_knotwise and I are now Julie's parents in the eyes of the law as well as in spirit.
Yay!
And the end result is that
Yay!