The University of Rochester Cancer Center (URCC) is conducting a research study at Highland Hospital and Strong Memorial of lung cancer patients whose tumors cannot be surgically removed. The usual treatment for this stage of cancer is chemotherapy (treatment with drugs) combined with radiation (chemo-radiation). Because of the risk of spread to other organs, patients with your stage of disease are also often treated with additional chemotherapy, either before or after the chemo-radiation treatment. The best timing and number of treatments for this additional chemotherapy has not been clearly established. The purpose of this study is to help determine if a single treatment with two chemotherapy drugs, followed by radiation and low-dose chemotherapy is an effective way to treat patients with lung cancer. The side effects of this treatment and your quality of life while on the study will also be studied. Eighteen will participate in this study locally.