I have a very similar gun.
Mine dates to 1951, and other than having cocking indicators looks quite like what you have pictured. Chopper lump barrels, stocked to the fences, intercepting sears, sculpted iron on a beavertail forend, seems like a nice gun.
I did a fair amount of research before and after buying mine, and what I read was that the firing pins are the "weak link." My own personal experience has shown that to be the case (at least with my gun). It is currently with Cole Haugh getting new pins fitted. When I received it the gun miss-fired on the right barrel with certain ammo. Not only was the pin a little short on that side, but it was also sloppy in its bore. I don't know if the pins were bad from new, or if the pins were just sloppy fit or "off the shelf" replacements.
I welded up the firing pin temporarily and used the gun for this whole bird season. The gun handles nicely, and doesn't feel as heavy as it should (if that makes any sense). Nice strong ejectors. There seems to be a fair amount of wood to metal contact at the head of the stock, it doesn't look as "fragile" as the other sidelocks I have had apart.
I was never able to nail down an exact model designation, but if someone wants to send me half the 10k quote for a new 1030 the gun is yours!
CHAZ