American College of Surgeons Mercy Medical Center Mercy Medical Center. Contact Info . 500 South Oakwood Road Oshkosh, WI 54904-7944 United States Phone (920) 223-2000 www.affinityhealth.org. Network Members Mercy Medical Center 500 South Oakwood Road Oshkosh, WI www.affinityhealth.org. St. Elizabeth Hospital 1506 South Oneida Street.