The Oxford English Dictionary says of 'got'..."Shortened past participle of get; see gotten," so 'gotten' was the original format. It predates 'got' by about three centuries. It is, as already said above, largely an Americanism nowadays; however, when I was a lad in the North-East of Scotland quite a few decades ago - certainly not thirty of them! - 'gotten' was perfectly common in Doric, the dialect of that part of Britain.
For example, "Ah've gotten 'e Beano. Hiv ee gotten ane?" (I've got the Beano. Have you got one?)
Perhaps someone currently living in or around Aberdeen can confirm whether this is still normal. Certainly our teachers would never have approved, but everybody did it regardless. The point is, 'gotten' was certainly in use here in Britain within living memory and may well still be.