Sharapova, the 2004 winner, will face Argentina’s Gisela Dulko for a place in the third round.
British teenager Laura Robson had a promising start to her Wimbledon debut, but eventually faded against Daniela Hantuchova, losing 3-6, 6-4, 6-2.
The 15-year-old Robson was the youngest player in the main draw since Martina Hingis in 1995 and was given a wild card after winning the junior title last year.
Playing in front of a near-capacity crowd on Court 2, Robson showed few signs of jitters in the first set and used her big forehand to break her Slovak opponent twice.
However, she made several costly errors in the second set, including two double faults to give Hantuchova the decisive break.
Robson double faulted again to give Hantuchova a crucial break in the third.
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