Who said "Your feet don't go all the way down."?

This quote is attributed to Caterpillar.

Your feet don't go all the way down. - Caterpillar

"Your feet don't go all the way down."

Caterpillar

Character in Alice's Adventures in Wonderland

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"Speak English! I don't understand French."

"You're old Father William."

"Who are you?"

"How doth the little crocodile improve his shining tail."