Inova Alexandria Hospital | 2,077 followers on LinkedIn. We are Inova, Northern Virginia and the Washington, D.C. metropolitan area’s leading nonprofit healthcare provider. | Inova Alexandria Hospital is a nationally recognized, community hospital with a rich history. As the oldest continuously operating hospital in Virginia, we’ve been proudly serving our diverse community for more than 150 years and are committed to offering a full range of healthcare services for all ages. Inova Alexandria Hospital is the oldest continuously operating community hospital in Virginia.