Wozniak is the first Canadian woman to reach the quarter-finals of this event since Patricia Hy-Boulais in 1992.
"Today I just wanted to finish off the match quickly and be able to rest for my next one," Wozniak said. "I came back and played aggressive and now I'm going to go back and try to recover for the next match.
"I've always come with my friends to watch the best players in the world come to this big tournament. This tournament means a lot to me."
Wozniak and McHale had to complete their match on Saturday after it was suspended on Friday because of rain with Wozniak ahead 7-6 (7/5), 5-2.
Wozniak lost later Saturday in the quarters to seventh seeded Caroline Wozniacki of Denmark 6-4, 6-4 in the hardcourt tournament.
Other quarter-final winners Saturday comprised China's Li Na and Czechs Lucie Safarova and Petra Kvitova.
Li routed Poland's Agnieszka Radwanska 6-2, 6-1, while Kvitova beat Tamira Paszek of Austria 6-3, 6-2 and Safarova breezed past Roberta Vinci of Italy 6-2, 6-2.
Aleksandra Wozniak ends home soil drought
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