Elliot Family Medicine at Bedford. 25 Leavy Drive. Bedford, NH 03110. Phone: (603) 472-7233. Fax: (603) 472-9188. Hours: Monday through Friday: 8:00 a.m. to 5:00 p.m. Flu Clinics. The Elliot will be offering Saturday flu clinics for patients of Elliot Primary Care beginning September 18, 2021..