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.-
Not sure it has a "correct" name. I grew up having it called "egg in a hole," but depending on where you're from there are different names. I know people who call it "egg in a nest." Wikipedia says:
There are many names for the dish, including "bullseye eggs", "eggs in a frame", "egg in a hole", "eggs in a nest", "gashouse eggs", "gashouse special", "gasthaus eggs", "hole in one", "one-eyed Jack", "one-eyed Pete", "one-eyed Sam", "pirate's eye", and "popeye".[7][8][9][10] The name "toad in the hole" is sometimes used for this dish,[7] though that name more commonly refers to sausages cooked in Yorkshire pudding batter.
I can also attest to hearing “eggs in a basket” and “toad in a hole” growing up. My son has just dubbed the dish “egg bread” and requested it almost daily. He also calls fried eggs “dip eggs” and boiled eggs “shape eggs.” He was probably 3 when he solidified these terms, but they have all stuck, 6 years later.