The 17-year-old said that despite some leg pain, she put everything into her serve on match point to end the two-hour, 45-minute contest.
'I thought this match point might be my last chance, so I threw in a really big serve. I'm so happy I won it.'
Russian 13th seed Nadia Petrova reached the third round over Julie Coin of France 6-4, 7-6 (7-3), while Romanian teen Sorana Cirstea beat Stephanie Dubois of Canada 6-4, 5-7, 6-4 with a third set littered with five straight breaks of serve.
In men's play, Germany's Tommy Haas advanced at the expense of American Robert Kendrick 6-4, 6-4, 7-6 (7-3), the winner producing a dozen aces and 48 winners.