Not really. The 404 side by side .410 seems to run about $300 for good condition, and that is about the highest. The H&R single was pretty much a utility grade shotgun- well made, reliable, durable- but the shotgun of the farmer, mechanic, storekeeper.
And incidentally, my first gun was an H&R single shot .410. Given to my Mom by her dad, on the condition that it went to first son (me).
What we have here is... failure- to communicate.