Which Alice?

ALICE IN PUZZLE-LAND
"All the cards are around here," said the Duchess. "Anyway, I
heard a rumor that the Queen of Diamonds was mad. However, I
was not sure whether the person who told me this was mad or sane,
so I decided to find out for myself.
"Well, one day I met the King of Diamonds without his Queen. I
knew him to be absolutely honest, though of doubtful sanity, hence
whatever he would say he would at least believe to be true.
'"Is your poor dear wife really mad?' I asked sympathetically."
'"She believes she is,' replied the King."
What can be deduced about the King and Queen of Diamonds?
WHAT ABOUT THESE THREE? "I've always wondered about
the March Hare, the Hatter, and the Dormouse," said Alice. "The
Hatter is called the Mad Hatter, but is he really mad? And what
about the March Hare and the Dormouse?"
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