I can only assume that the invention of this dish was on the back of a heavy night of too much drinking.
The Francesinha (or little french lady) is far from little and not very feminine.
I can imagine the drunken conversation.
“Let’s make a sandwich. Some ham. Some cheese. Ok some salami. What else have we got?”
“Some sausage. What about a steak?”
“This all looks a bit stodgy. Lets pour some cheese and beer sauce over the top. And then grill it”
It may not be a culinary masterpiece but it is a classic dish of Porto.
Survival Rations 
That Francesinha looks absolutely divine! It’s taking a lasagna plus a pot pie and making it cheesy and delicious. Amazing how people come up with this stuff. It’s like the artichoke, from a recent conversation with the Husband. How did someone realize that if you peeled away at this seemingly ugly veggie, that there was a delicious heart in the center. Anyway, we’ve got most of the ingredients for the Francesinha, think we’ll venture making one, or as close to it as possible. Cheers! x
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