Maryland State Route 632 is a short north-south highway in Washington County. It runs from Downsville, north to Hagerstown. MD St Rt 632 passes through the following towns in Washington County. Downsville Hagerstown MD St Rt 632 is not multi-plexed in Washington County. MD St Rt 632 intersects the following highways in Washington County. Maryland State Route 63, at Downsville. Maryland State Route 68, near St. James. Interstate 70, near Hagerstown.