This formula is for water-stained wood furniture, but it should work for perfume. But, not knowing the exact makeup of your black furniture, you might want to test a hidden area to see if the black finish is negatively affected.

First, cover the affected area with mayonnaise or petroleum jelly and let it sit for eight hours. Next, sand with a dry Scotch-brite pad. Finally, rub lemon oil onto the cleaned area to bring back the finished luster.