Which Alice?

The White Knight Couldn't Quite Remember
Alice. "One doesn't have to remember that; it's a simple matter of
logic!"
"Quite right," said the Knight, "and yet I seem to remember it so
vividly!"
"Anything else you remember?" asked Alice.
"Well, a few days ago I met the Gentleman dressed in white
paper — the one you once met on the train. He was unable to attend
this trial, but he was quite interested in what happened, since he
personally knew each of the three defendants. I told him all I have
told you so far, and, in addition, I remembered at the time whether
it was that the Goat had lied or whether it was that the two Insects
had told the truth. When I told him which, he was able to determine
whether the Goat was convicted, acquitted, or whether the Court
was undecided."
Was the Goat convicted, acquitted, or was the Court undecided?
THE MOST BAFFLING CASE OF ALL Of all the trials that the
White Knight recounted, the one that follows is the one that
remained most firmly in Alice's memory. At first it seemed so
utterly impossible to solve, and yet, with further reflection, it
completely succumbed to logical analysis.
"In this trial," began the White Knight, "there were again three
defendants, and only one was guilty. The first defendant either
claimed that he was innocent, or he claimed he was guilty, but I
can't remember which. Then the second defendant either claimed
that he was innocent, or he claimed to be guilty, but again I can't
remember which. Then the third defendant either accused the first
defendant, or he claimed that the first defendant was innocent, but
again I cannot remember which. However, I vividly remember that
at most one of the three statements was true.
"Last month," continued the Knight, "I met the Jabberwocky and
I told him all I have told you so far. Also, at that time, I
remembered what each of the three defendants said, and when I
told the Jabberwocky what each had said, he was able to solve the
case."
111