Ful is the Egyptian word for fava beans, and medames is a Coptic word meaning "buried". I guess they would bury a pot of beans and top it with coals or some such thing.
So, this is how it goes, drown your beans overnight or 4-8 hours, drain, rinse, etc. Drop in minature hot tub bring to a boil, reduce heat and simmer until they are tender. Add Garlic and Cumin to taste. Place desired amount on a plate or in a bowl. Drizzle with Extra Virgin Olive Oil, fresh squeezed Lemon juice and some Kosher Salt(better texture). Top with Fried Eggs and serve with a warm Whole Wheat Pita.