Without the blown barrel any of the big dealers would have $2850 or more on a 20-gauge Sterlingworth ejector with an unmolested stock like this one. I'll place my bet on a AA HS base wad!
It is very hard to say from those photos what may have been done to this gun over the years. Back in my youth, my Father and I answered an ad in the Seattle Times for a 20-gauge AE-Grade Fox. The gun had the 2nd generation engraving but still with the early style snap-on/off forearm. It weighed about 5 pounds 12 ounces. The guy had rechambered it to 3-inch, and he was selling it because his wife didn't like it because it kicked too much!! Even back in the late 1960s we knew enough to beat a retreat!