This study is designed as a Phase 2 study. There are no published data on the toxicity of the combination of bevacizumab and topotecan therapy. Based on data combining bevacizumab with other chemotherapy agents in non-gynecologic solid tumors, it is not likely that the toxicity of the combination of the two drugs will be greater than the individual toxicities of each drug. The toxicities of each of these agents is quite different. Specifically the toxicity of this combination will be studied using the dose of bevacizumab used in previous phase II studies of ovarian cancer, e.g. an equivalent of 5 mg/kg weekly with treatments given at least every 3 weeks. In our study, since topotecan will be given weeks 1,2 and 3 of an every 4 week cycle, it is convenient to give bevacizumab 10 mg/kg IV every other week.