Neither do I, and I'm a native speaker! What situation is going on that this sentence appears?
"Come to one's feet", as in the sentence, "At the end of the performance, the audience came to it's feet, clapping and cheering, with cries of 'bravo'."
That is, the audience were so excited by the performance they had just seen, that they did not sit sedately in their seats and clap, but expressed how much they had enjoyed it by standing and clapping - "they came to their feet".
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