Iressa (ZD1839) Plus Anastrozole (Arimidex) in Patients With Ovarian Cancer

The main purpose of this study is to determine the effects (good and bad) Iressa plus anastrozole has on patients with relapsed ovarian cancer.

* Patients will receive Iressa and anastrozole orally once daily until treatment is ended. Treatment will end if any of the following occur: Unacceptable adverse effects; bowel obstruction; initiation of systemic chemotherapy; development of new ascites or pleural effusions, development of co-morbid disease or disease progression. * Patients will be given a drug log in which to record the date and time they take their pills, as well as any symptoms and concomitant medications. * Patients will be seen monthly for the following tests and procedures; a physical examination and repeat blood work. Patients who remain free of clinical symptoms should have repeat abdominal/pelvic CT scans and chest x-rays on an every 3 month basis.