A Phase II Study of Bevacizumab and Erlotinib in Subjects With Advanced Hereditary Leiomyomatosis and Renal Cell Cancer (HLRCC) or Sporadic Papillary Renal Cell Cancer

Background: * At the present time, there are no drugs that have been proven to work in patients with papillary kidney cancer that has spread (metastasized) beyond the kidneys. Researchers are interested in determining whether the combination of the drugs bevacizumab and erlotinib can be used to treat metastatic papillary kidney cancer. * Hereditary Leiomyomatosis and Renal Cell Carcinoma (HLRCC) is an inherited type of papillary kidney cancer (it runs in families). Papillary kidney cancer can also occur sporadically, or without a family connection. More research is needed to determine whether treatments for papillary kidney cancer, such as bevacizumab and erlotinib, work in inherited or sporadic types of kidney cancer, and if so, whether there are any differences. Objectives: -To determine the effectiveness of the combination of bevacizumab and erlotinib as a treatment for patients with (1) metastatic HLRCC kidney cancer and (2) metastatic kidney cancer not associated with HLRCC (or sporadic papillary RCC). Eligibility: * Individuals 18 years of age or older who have been diagnosed with papillary kidney cancer that has spread beyond the kidneys. * Participants may have either HLRCC or sporadic papillary kidney cancer. Design: * Participants will be screened with a full medical history, physical examination, blood and urine tests, and computed tomography (CT) and other scans to evaluate tumor size and treatment options. * Participants will receive 28-day treatment cycles of bevacizumab (given intravenously every 2 weeks) and erlotinib (a tablet taken by mouth daily). * Every cycle, participants will return for regular blood and urine tests. Every other cycle, participants will have imaging scans to assess tumor size and response to treatment. Female participants who have uterine fibroid tumors related to their kidney cancer may have additional scans to assess tumor size and response to treatment. * Participants will continue to receive treatment on the study u