The third seed beat New Zealand's Marina Erakovic 6-4, 6-3 to win the fifth title of her career.
Robson came from a set and 3-5 down to defeat New Zealand's Marina Erakovic, 1-6, 7-5, 6-3.
Erakovic confidently raced to a 6-1 first-set victory, and the title was hers when the struggling Lisicki retired.
Czech Petra Kvitova kick-started her title defence at the Madrid Masters on Monday with a 6-2, 6-3 defeat of New Zealand's Marina Erakovic.
Fifth-seeded Serena Williams overpowered New Zealand's Marina Erakovic 6-2, 6-2 on Thursday as she and sister Venus edged closer to a clash on the green clay courts of Charleston.
Defending champion Caroline Wozniacki brushed aside a shaky first set to come from behind and beat Sofia Arvidsson 3-6, 7-5, 6-2 in the Indian Wells tennis tournament third round.
Barbora Zahlavova Strycova rallied to beat Marina Erakovic 4-6, 6-1, 6-0 on Sunday in the Bell Challenge final.
Top seed Daniela Hantuchova was sent crashing out of the WTA Bell Challenge tournament on Friday, losing 6-4, 6-4 to unseeded Kiwi Marina Erakovic.
US top seed Andy Roddick captured his 30th career ATP title on Sunday, outlasting Milos Raonic 7-6 (9/7), 6-7 (11/13), 7-5 to deny the Canadian his second title in as many weeks.
Milos Raonic hammered a career-high 38 aces defeating Radek Stepanek 6-4, 6-7 (10/12), 7-6 (7/1) on Thursday to reach the quarter-finals of the ATP/WTA Memphis event.