Oswego Hospital's main lobby entrance is located at 110 W. 6th St. (West 6th is a one-way street, running south, in front of the hospital) in Oswego. If you have questions or need further guidance, just give us a call at 315.349.5511.. Our emergency department entrance is on West 7th Street. Free parking off West 7th Street is available for emergency department patients and their family members..