The third seed made light work of Japan's Ayumi Morita 6-1 6-3 to set up a fourth round tie against 14th seed Maria Kirilenko from Russia who was also a straight sets winner (7-6 6-3) over Belgium's Yanina Wickmayer.
Hamilton has said the seed for her plot came from the 2005 Tony Award-winning Broadway musical Light in the Piazza, and the original novel by Elizabeth Spencer on which that was based.