This pilot study will help us to determine the success of using a special technique called microarray technology to examine cancer genes in order to predict how individual women will respond to one of two therapies, liposomal doxorubicin or topotecan, and which will be more effective in treating ovarian cancer that has returned (recurrent ovarian cancer). We believe that this study may lead to a means by which microarray technology can predict the most effective treatment decision, based on the genetic characteristics of her tumor tissue, for a woman with recurrent ovarian cancer.