The health department also has a hotline: 877-829-4862. Fauquier County has a call center to help at 540-422-0111. The number of people who want the vaccine far outnumbers the supply. It will require patience. Fauquier Health vaccination information. Virginia has another 160 deaths â including the 53rd in Fauquier County â attributed to COVID-19. But, the rate of new cases remains relatively low and the state over the last week has gotten close to Gov. Ralph Northamâs goal of administering 50,000 doses of vaccine per day. ⢠3,968 total cases in Fauquier since the pandemic began â up 16 from Monday morningâs report. Fauquier public schools have 8 active cases among staff members and 9 among students as of Tuesday morning. The school system had 82 students and 16 staff members in quarantine as of Friday, Feb. 26.