The paper coming from the house says to me it was not Patsy. It is just not logical. Not if you are hiding something. There is no way I see Patsy involved in this crime. Too much does not fit.
The scene was staged and obviously the frame was going to be "kidnapping gone wrong".
You need paper to write a ransom note.
It's the middle of the night, there is limited options.
I think we're all thinking just a little too logically here and not adding enough panic to the situation. JB is dead and one of the parents is responsible. Logically the best thing,
but psychologically hardest thing, to do is just leave her where she is, report her missing and cooperate but only to a point.
Just like every other human, though, they had to overdo it. That's why so many staged scenes are confusing, because some of it makes sense but most of it doesn't. Take Darlie Routier, she claims to have been attacked while lying on a faux leather sofa with her son lying on the floor beside her. The theory being that she fought someone who cut her throat on that couch and there were no nicks or cuts in the faux leather, little blood only on a little pillow and her son wasn't trampled on, nicked or cut during this struggle on the couch.
Do you think Darlie was even thinking about the leather evidence or trampling evidence at the time? No. To Darlie, the cut was the most important and dramatic prop in her staged scene and to support that prop she lay on the small pillow long enough for transfer. But as usual, the rest of it just didn't make sense nor did it support her prop. It's like saying you shot a bear by a tree and showing people the tree to prove it.
People staging a scene don't think of everything which is why cops can usually spot a staged scene right away from it's, for lack of better term, oddness.
But back to this case....like Darlie, Patsy saw the ransom note as the prop to their story and either didn't think how illogical it was that a kidnapper would write a note at the victims house or just didn't have any other options and decided to risk it, hoping the cops wouldn't notice. More likely though she just didn't think any of it through.
I'm not sure what you think doesn't fit with Patsy, though. We don't really know what she was scared of but we know she was acting odd that morning, we also know the note was most likely written by her. We know she acted odd after the murder, too. I think French's observation are interesting. I think her lack of advocacy after the murder is a little odd too.