Carey of Petite Kitchenesse calls it an "egg in the basket", but here in the South we refer to this dish as a "toad-in-a-hole". They're easy to make, and Carey's variation makes them a great Valentine's Day breakfast.
In my house, we call this sunshine toast, and the best part is the cut out toast circle from the center! The only breakfast my kids and their friends ever request...
in the movie: It Happened One Night > Clark Gable made a bread and egg breakfast like this, and called it, "Gas House Eggs". That is what I've always called this recipe.
It is called by many names internet;understand that others come from other regions.
As other have said, Toad in the Hole is sausage in Yorkshire pudding.
"Toad in a Hole" to us, were link sausages in Yorkshire Pudding.