In the Great Bridge area of Chesapeake these are all locally owned & moderately priced:
1. Chesapeake Pizza is a good pizza place; no credit cards though.
2. The Courthouse Cafe is good American food restaurant.
3. Pirates Cove is a good seafood place.
If over in the Western Branch area of Chesapeake, there is a place called Jone's Restaurant. It's just over the border into Portsmouth, but they have good fried chicken, BBQ, and home cooked meals. Very reasonably priced and locally owned.