MyHealthONE ® Patient Portal; ... North Florida Regional Medical Center 6500 W Newberry Rd Gainesville, FL 32605 Telephone: (352) 333-4000. Follow us on Facebook Follow us on Instagram Follow us on LinkedIn Follow us on YouTube. HCA North Florida. 101 N Monroe St., Suite 801 Tallahassee, FL 32301. Contact Us. HCA North Florida Hospitals ....