Combine apple cider and brown sugar in a 3-quart saucepan. Wrap cinnamon sticks, cloves, nutmeg and ginger in cheesecloth and add to cider mixture. Stir over medium-high heat until sugar dissolves. Bring to a boil; simmer 10 minutes.
Remove cheesecloth. Serve in cups while warm. Garnish with lemon slices.