David E. Carleton, MD. Rheumatology Specialists - Parham Doctors' Hospital MOB II - 7650 E. Parham Road, Suite 304, Richmond, VA 23294 - (804) 346-1551. David E. Carleton, MD, is a graduate of Bucknell University, having received his BA in 1994. He received his Doctor of Medicine from the Medical College of Virginia in 2002 which was ....