 MD 303 begins at an intersection with MD 309 (Cordova Road) a short distance north of the village of Cordova.The state highway heads east as two-lane undivided Tappers Corner Road, passing under an abandoned railroad grade owned by the Maryland Department of Transportation and crossing a pair of branches of Tuckahoe Creek.MD 303 turns north onto Lewistown Road at Tappers Corner very close to the birthplace of Frederick Douglass.