Kerber, who was beaten by Serena Williams in last year's final, is known for her fighting qualities and needed to show all of them to beat Rogers in two hours and 17 minutes.
Rogers' confident start belied her world ranking of 70, the American hitting twice as many winners as the top seed in the opening set.
With her forehand starting to prove a particularly potent weapon, Kerber duly dominated the second-set tie-break, levelling the match at the second time of asking despite having to delay her serve due to the unwelcome attentions of a wasp.
"I think after the second set I just found my game and I was trying to be more aggressive".
"I'm really not looking out of the schedule", Kerber said.
HTC Ocean Life may feature Edge Sense and 16MP camera
The leakster also revealed the phone should make a debut with a 5.2-inch display with fullHD resolution (1920 x 1080 pixels). In addition, the device would feature the HTC USonic technology, which means that the 3.5mm audio jack would be missing.
No. 14 seed Garbine Muguruza of Spain reached the fourth round with a 6-2, 6-2 win over Sorana Cirstea of Romania. I love this kind of match. She next faces Rybarikova, who eased into the last 16 of a major for the first time with a 6-2, 6-1 win over Lesia Tsurenko of Ukraine. Sam Querrey took one game to beat Jo-Wilfried Tsonga in a match suspended Friday due to bad light, while Grigor Dimitrov made it through after opponent Dudi Sela pulled out-the 11th retirement at the championships.
"I told myself to try to be aggressive", said Querrey, who reached the Wimbledon quarterfinals previous year.
Venus Williams lost in the semifinals past year and is playing at the tournament for the 20th time. In the second set, I was starting to feeling the ball better and better. "I am a little disappointed as I didn't keep my level up throughout the whole match but if you had said I would make the third round of the main draw I would have been happy", Hercog told AFP. "The last time I played her here, I lost the match, so".
Tsonga, a Frenchman seeded 12th, began the second installment of the match serving at 5-6 in the fifth set, and buckled on the eighth point after the resumption, going wide with a forehand to hand Querrey, an American who is the 24th seed, a 6-2, 3-6, 7-6 (5), 1-6, 7-5 victory in a match lasting nearly three hours.
Croatia's Martic is the last qualifier still going after beating Zarina Diyas 7-6 (6), 6-1.