ARM I (REFERENCE REGIMEN): Patients undergo physician's choice of standard of care chemotherapy, comprising either paclitaxel intravenously (IV) on days 1, 8, 15, and 22 every 28 days (Regimen I); pegylated liposomal doxorubicin hydrochloride IV on day 1 every 28 days (Regimen II); or topotecan hydrochloride IV on days 1, 8, and 15 every 28 days or days 1-5 every 21 days (Regimen III). Treatment continues in the absence of disease progression or unacceptable toxicity.