Welcome to the forum. I'm going to guess that your gun is a small/light frame single barrel. Looking at Bill Goforth's research notes, the only listing with that chamber designation is a MODEL 1915. If so, your gun will have a non-removable hinge pin and a "snap-off" fore end for disassembly. The 410-44 is only listed for the 1st Variation, made between 1916 and 1921 (from H&R catalogues.) It will have either a 26" or 28" barrel and be full choked. It was chambered (as Bill DeShivs mentioned above) for 2 1/2" .410 bore shells OR .44 W.C.F. (.44-40) and .44 XL SHOT shell ONLY. It may be an auto ejector or an extractor version (both were offered). I don't have enough info on serial number ranges for this model, but I'd guess yours was made later in the range - so probably 1918-'19 time frame.
Value depends entirely upon condition - there is some collector interest in the older s.b. shotguns in obsolete chamberings - and will probably top-out around $175 - $200 in excellent condition. Lesser condition pieces will fall below that mark, all the way down to 50 bucks or less for parts guns.
As Bill also posted - shooting modern .44 or .45 handgun ammo in that gun will probably/eventually result in a catastrophic failure.
Check the pics attached: