Autologous T Cells With or Without Cyclophosphamide and Fludarabine in Treating Patients With Recurrent or Persistent Advanced Ovarian Epithelial Cancer, Primary Peritoneal Cavity Cancer, or Fallopian Tube Cancer (Fludarabine Treatment Closed as of 12/01/2009)

RATIONALE: Giving colony-stimulating factors, such as G-CSF, helps stem cells move from the bone marrow to the blood so they can be collected. Treating stem cells collected from the patient's blood in the laboratory may increase the number of immune cells that can mount an immune response against the tumor. The treated stem cells may help destroy any remaining tumor cells (graft-versus-tumor effect). Chemotherapy may also be given to the patient to prepare the bone marrow for the stem cell transplant. PURPOSE: This phase I trial is studying the side effects and best dose of autologous T cells when given with or without cyclophosphamide and fludarabine in treating patients with recurrent or persistent advanced ovarian epithelial cancer, primary peritoneal cavity cancer, or fallopian tube cancer. (fludarabine treatment closed as of 12/012009)