2. Mention croquet in literature and many people's thoughts turn first to Lewis Carroll's "Alice's Adventures in Wonderland". What, respectively, did Alice use for mallet and ball?
From Quiz A Literary History of Croquet
Answer:
Flamingo/Hedgehog
"The chief difficulty Alice found at first was in managing her flamingo: she succeeded in getting its body tucked away, comfortably enough, under her arm, with its legs hanging down, but generally, just as she had got its neck nicely straightened out, and was going to give the hedgehog a blow with its head, it would twist itself round and look up in her face, with such a puzzled expression that she could not help bursting out laughing: and when she had got its head down, and was going to begin again, it was very provoking to find that the hedgehog had unrolled itself, and was in the act of crawling away ..." (from Lewis Carroll's "Alice's Adventures in Wonderland").
In 1866, Carroll also invented a variant of croquet known as castle croquet. This involves four players each controlling two balls, and is still played today.