About James C. Dodson, MD. James Carlisle Dodson, MD is an internal medicine doctor and primary care doctor who practices at Logan Physician Practice, LLC located at 147 E 5th St in Russellville, KY 42276 (Logan County). Dr. James C. Dodson has 15+ years of experience in internal medicine. Education. James C. Dodson, MD earned a degree of a ....