No, I've never seen or heard of one of those. the picture looks like a rather old fashioned gun. Is it still made?
The problem with the smooth bore double barrel derringers in .45 that I've seen is that they have the barrels side by side. Part of the reason derringers are so attractive is how narrow they are. But if your barrels are side by side, you just lost that feature, so you might as well go for 2 more barrels and make it a 4 barrel gun.
If I knew where to get over-under double barrel derringers in .45 with smooth bores that were long enough and sturdy enough to take .410 shotshells, I'd probably go for it.
Your philosophy of two double barrels does have it's attractions. But now that you got me thinking about the matched pair concept, I'm thinking I'd really like a matched pair of 4 barrels...ha
Oh, I'm SO glad you asked:
The Semmerling LM-4 *sort-of* Derringer
The barrels of a handgun that can accept shotloads must be at least shallowly rifled, lest the weapon enter the legal classification of a sawed-off shotgun. But check out the Number 1 Model American Derringer, chambered for .45 Colt and .410. Also available in longer-barrelled versions....
And do note that they have a 4-barrelled version listed on the webpage directory, though not yet in production. But an offer to be a beta-tester might be well-received, and such an offer and the follow-up correspondence with Liz Saunders would be a lot more pleasant than dealing with a lot of folks I more usually do business with.