Williams, the world No. 1, dispatched Caroline Garcia 6-1, 6-2 in 62 minutes and has lost a total of four games in the first two rounds of the tournament. Williams dropped just seven points serving and didn't face a break point.
Fourth-seeded Agnieszka Radwanska also gained a third-round berth in just 67 minutes as she beat Mallory Burdette 6-3, 6-2. She had a mere five unforced errors and won 60 percent of the points in the match, including 55 percent off Burdette's serve.
No. 3-ranked Victoria Azarenka picked up a delayed first-round win with a 6-1, 6-4 romp over Elena Vesnina. Azarenka had four breaks -- two in each set -- and lost her own serve just once. She also had just 13 unforced errors.
Petra Cetkovska best 19th-seeded Russian Anastasia Pavlyuchenkova 7-5, 2-6, 6-4, Kaia Kanepi ousted 23rd-seeded Klara Zakopalova 7-6 (7-3), 6-2 and Jamie Hampton posted a first-round upset of 25th-seeded Lucia Safarova 7-6 (7-5), 3-6, 9-7.
Dinah Pfizenmaier won a second-round match while unseeded winners Wednesday included Anna Karolina, Annika Beck, Peng Shuai, Stefanie Voegele, Ashleigh Barty, Petra Cetkovska, Svetlana Rybarikova, Monica Puig, Virginie Razzano, Carla Suarez Navarro.
Disney's 'Jessie' to feature network's first engagement
Iranian woman stops the execution of son's killer