About the questioning of Kate this is from her book -
Tell us about that night, they said. Tell us everything that happened after the children went to bed. I gave them every detail I could remember, as I had before, but this time they responded by just staring at me and shaking their heads. I was reeling with confusion, disbelief and panic. What the hell was going on? Evidently not satisfied with my account, they pressed me. Was there anything else I wanted to add? Anything else unusual that had occurred that night?
Of course there wasn't. If there had been I would have told them on the 3rd of May. I'd recounted absolutely everything and anything - more than they wanted or needed to know, probably, just in case some triviality I recalled might be significant. How could they think I would hold something back that might help my daughter. Why were they asking me this? Why?
On and on it went. They tried convince me I'd had a blackout - a loss of memory episode, I think they called it. My denials answers and pleas fell on deaf ears. This was their theory and they wanted to shoehorn me into it, end of story.
So it seems Kate answered all the questions, and it wasn't what they wanted to hear.