The top seed needed just over an hour to clinch victory in the WTA Premier grass-court event in Birmingham, breaking the German four times in total as she cruised into the last 16.
There she will take on Lauren Davis, conqueror of fellow American Victoria Duval 6-2 2-6 6-2.
Elsewhere in the second round, defending champion Daniela Hantuchova overcame a brief break for rain in seeing off Belinda Bencic 6-1 6-4.
Hantuchova got the better of Donna Vekic in last year's final, and looked in impressive form in Birmingham, breaking the Bencic serve five times en route to a comfortable victory.
Coco Vandeweghe also made it through, coming from a set down to beat Yanina Wickmayer 5-7 7-5 6-1.
In Tuesday's first-round matches, 14th seed Kurumi Nara went down 6-3 6-1 to wild card Johanna Konta.
Konta delighted the home crowd, breaking the Japanese twice in each set to ease to victory.
Home fans will be denied an all-British clash in the second round, however, after Heather Watson lost out 2-6 7-5 6-4 to Aleksandra Wozniak, who saved three match points in the second set before going on to claim victory.
Sixteenth seed Casey Dellacqua also made it through, 6-1 6-3 against Ursula Radwanska, while Christina McHale will take on second seed Samantha Stosur after getting the better of Anna Schmiedlova 7-6 (7-5) 6-4.
Lucky loser Timea Babos made the most of Irina Falconi's withdrawal, seeing off Marina Erakovic 6-3 6-4, while 12th seed Monica Puig came from a set down to beat Stefanie Voegele 6-7 (3-7) 6-2 6-2.
Elsewhere, Barbora Zahlavova-Strycova overcame Naomi Broady 5-7 6-4 6-3, and Petra Cetkovska cruised past Alexandra Cadantu 6-3 6-4.