I would offer the opinion that the No.3 was a .375 Winchester and not a .375 H&H, unless it was aftermarket rechambered.
ENU,
That was exactly my inital thoughts on the subject.
I have owned 2 or 3 No: 3's in .375 Win. and still have one. Also have 200th yr. No: 3 in .30-40 Krag. I've never seen a #1 in .30-40... But with Ruger, you never know... I've learned to never say never.
I have also handled a couple of No: 1's in .222 Rem. One was an AB and the other a "B". Likely both were pre 1970 models, thus they didn't have the Alphabetical nomenclature at that time.
I have also handled a No: 1-AB in .308 Win. Seller offered it to me for $450. I didn't have that much cash on me at the time. I called him about 3 days later and told him I'd take it for $450. He responded: "I told you $550!" I was so upset that I passed on the deal.
About 3 mos. later the seller passed away. I never did find out what happened to all his guns.
But I sure wish I had taken that .308
I don't think I looked at the serial # at the time. But I suspect that it was also pre-prefix. OH well! We all remember the good ones that got away. Of all the No: 1's I've looked at over the years, I have only seen less than a half-dozen of the pre-prefixed ones. Sadly, I never realized how collectable they were until fairly recently.
We live and learn, and I'm a slow learner....
Grasshopper