In a sauce pan add carrots, ginger and chicken stock and cook for 45 minutes or until carrots are very soft. Puree mixture in a blender and strain through a fine strainer and reserve. Mix together flour, cornmeal and old bay seasoning and set aside. Dredge soft shells in milk and then in the flour mixture. Heat a saute pan with oil until the pan is smoking and saute the crabs until golden brown on each side. Splash with a squeeze of lemon juice and drain on a paper towel. Saute baby bok choy in a hot pan with the garlic and butter until wilted. Serve the soft shells on a bed of the bok choy and spoon the puree sauce around.