Edit: (Slice of bread with a hole cut in the middle and an egg fried in it.) I have always called them daddy-o eggs but I have recently been informed that is incorrect.-
Egg in a basket
Toad-in-the-hole! Maybe. We only ever had them like once, scrambled eggs were far more common.
“Toad-in-the-hole” sounds British to me.
Edit: @fluke@lemmy.world said “toad-in-the-hole” refers to something else, some other breakfast food.
Eggs in a basket, toad in a hole, one eyed jack, eggs in a nest
Alabama eggs cuz it’s in bread. I have usually called them egg in hole.
Eggs in a basket.