To prepare sauce, melt butter in a medium saucepan. Add brown sugar and extract; cook and stir until dissolved. Cook over low heat for 5 minutes then remove from heat. Stir in cream and cook for 1 minute more; stir in mango and set aside.
To prepare crepes, stir together ricotta cheese, honey and cinnamon in a medium bowl. Spread about 2 heaping tablespoonfuls onto half of each crepe. Fold in half then in half again. Melt butter in a large skillet. Add crepes and cook over medium heat for a few minutes on each side to lightly brown and warm.
Transfer to serving plates and top with mango sauce.