Lettuce, spinach, mustard greens, maybe beets and carrots, herbs of all kinds, maybe peas, nasturtiums ... it depends really on how long that morning sun is. If it's from 7 to 12 full on sun then you can grow quite a bit but if it's less than that, mainly leafy stuff. Tomatoes, squash, most beans, melons needs 6 + hours of sunlight a day. A lot of things will grow in a shadier area but they won't produce well. There is a web site somewhere that actually lists vegies and flowers that will grow in shade or low light areas. Do a search and see what you come up with.
