Hmm. I don't know about everywhere else- but in NY a burger with a fried egg on top is called a Texas Burger. Could the handful of Texans here attest to this atrocity being their own?
JK- as to it being an atrocity- doesn't sound half bad and I actually think I've had it before. Runny yolk from a fried egg goes great with slightly toasted bread and fried meats. My diner fave is to order Corned Beef Hash with Eggs fried (with runny yolk) or over easy and a toasted buttered bagel. Then I dip the bagel into the runny yolk and smother hash onto it with a knife. It's like heaven- only without angels and horns.