Apparently both are baked (egg) dishes and done in flat bottomed dishes
So is there a difference between the two?
Ans then agaon what are eggs en cocotte - eggs baked in a ramekin dish
Shirred eggs is the texture name of the baked eggs. Cocotte eggs is the name that we give to eggs baked in a cocotte. So they are all the same. If you search for "cocotte" on google you will find out that cocotte is only the place where we put the eggs in, so we call them cocotte eggs.
Hope i could help.