In cooking, coddled eggs are gently or lightly cooked eggs. They can be partially cooked, mostly cooked, or hardly cooked at all (as in the eggs used to make Caesar salad dressing, which are only slightly poached for a thicker end-product). Poached eggs are eggs that, arguably, are coddled in a very specific way: they are very gently cooked, in simmering water.
Eggs for a Caesar Salad are hard boiled.