The chamberings MIGHT
be able to be found from the markings on the bottom of the various barrels - only visible after dismounting them from the action.
What you have is called a Vierling, aka a four-barreled (different barrels) gun, usually made in either Germany or Austria on a one-at-a-time, lengthy, costly, complicated process by small, virtually unknown (or not widely-known) gunmakers.
Some were made by the big players of the era, and are easily identified as such.
On most vierlings with side-by-side rifle barrels, the superposed barrels are usually both smooth for shot, but one of yours has the .22 cal barrel as the fourth - interestingly different.
Since it's a hammer gun, I would put it in the late 19th Century, to the early 1900's - the first .410's being made in about the 1870's, in Europe.
Pics of the various markings would help, but the SxS rifle chambers (if they are the same) are most likely for an obsolete BP round (unobtainium), and the .22 not for modern ammo.