This past Saturday we had a nice treat @ the IR50/50 match. A gentleman from Pa. comes up with his bud to shoot with us packing a Ballard Pope .22 complete with Lyman ST. Now this match has a few of the best purpose built BR guns and 4 hall of fame shooters present and this rig held it's own in tricky conditions while shooting less than top shelf match ammo, posting one card ,I believe a 249 15x, pretty solid performance.
Should he show up again I'll try to post a couple pics.

I agree on the barrel and ammo and how good old guns can be; here's my 2 cents, even if they are not single shots---

Even today the gun mags seem to think 1" at 100 yds (1 MOA) is the Holy Grail of centerfire off the shelf bolt guns costing up to $2000 or so.  Usually with a $500 scope on it too.  Admittedly usually 5 groups of 5 shots or so but usually the writer tries to cook up some handloads for better accuracy too.

So, my first Savage 99 lever action--1953 vintage I bought 2 years ago, I took to the range the first time.  It was a 99EG, with an older Simmons 3X9X32mm scope.  First box of ammo was Rem. factory, and groups were 1 1/4" after sighting in-not bad I thought considering my skills and a lever gun.  Second box of ammo was Federal Premium 150 gr.  Voila!  .7" groups all that day and other days!.
Sold the gun a year later in a moment of weakness even though I thought I had one remarkably lucky and accurate gun.
Got the Savage  99 bug again, and bought another one 3 months ago--same exact model gun also in 300 Savage except made in 1954 (still over 55 years old)
This time, shooting with an old Japan made Tasco 2.75X40mm Turkey / brush gun scope on it but same ammo.
Guess what?  .7" groups again! Here's a pic of the 1953 gun and target--only had a SB target 
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These guns were stock too--only thing I ever did to either of them was REALLY get all the old copper fouling out of the barrels with WipeOut and then about 3 sessions with JB Bore Paste.
Someday I'll wring out my old Stevens 418 22LR for a day to see what it will do at 50 yds with different ammo's too. Right now I am at 1 1/4"  and an occasional 1" at 50 yds with it, using CCI SV and Wolf MT ammo and the stock iron sights (Lyman 17A front with a lollipop insert and Lyman 48L or Lyman 144 rear sights)
Will keep you guys posted when

I have a Stevens Model 416, a bolt action descendant of the Savage Model 19, that was a military training rifle.  Not a single shot, just a factory rifle produced in bulk to train GIs to shoot during the WWII era.  I spent a ton of money and time wringing it out for accuracy.  The ammo it likes best will average 0.51 inches for ten 5-shot groups at 50 yards.  I bought a Remington40x .22 thinking I'd do better.  I did, sort of, cutting a whole 0.14 inches off the average.   

Stevens really built accurate .22s even when it was churning them out.   

Rem

That  Stevens 416 brings back memories,  My dad traded a Colt Detective Special for one so I could use it smallbore position 50 years ago. It was a fine shooter and at times won matches against high dollar new rifles, Winchester 52's etc.

After we switched out the rear sight for a Lyman 48 that is. Issue rear sight had a lot of slop. I thought it was the gun until we put the Lyman on it.

Boats

418 Steve:   

The ammo it liked best was the Remington Match Ultra Plus (Eley), which was also either the most expensive or the second most expensive ammo I tested.  (Of course, it couldn't love Walmart bulk pack stuff, that would have been too easy.)

Smallest individual group was with Fiocchi Match (M320), at 0.30 inches.

I only tested a few brands when shooting 10-shot groups.  Best individual group (0.50 inches) and best average for five 10-shot groups (0.71 inches) was Dynamit Nobel RWS 50.  All of the groups were shot at 50 yards from a bench using a Redfield 3200 24x and measured extreme spread of the lead smear on the paper less .22 inches for group size.

Steve:

I have no idea what the X might be for.  Mine has one and the handful of these I've seen over the years all did, too.  I just assumed it was a standard marking.

Rem