I keep thinking its a Model 15, but can't remember. It's been in storage for years and I keep telling myself I need to haul it out, clean it up and see if I can scrounge up the parts it needs. I remember my Grand-dad telling me it was the first auto-loading .22 that Remington made.
Any info would be helpful. I can't find anything on Numrich Arms' website or on oldguns.net.
One of my most-prized possessions is a Model 541 single-shot bolt action my Dad bought around the time I was born for the princely sum of $14.95 from the corner hardware store. He recently gave it to me, after he fired at least 75,000 rounds through it, and 2/3 of those were shorts!
This gun has one of the most beautiful walnut stocks to ever grace any rifle.
I had to polish the chamber because of all the shorts my Dad ran through this thing, and I recently also had to replace the firing pin/sear and the extractor. Dad says I've committed sacriledge because I had the receiver drilled and tapped and mounted a Bushnell 3-9x42 mm scope on it, as well as added a sling with QD swivels. I reminded him that he gave me the rifle because he could no longer see well enough with its open sights to shoot it accurately.

With Federal HV hollow points, it will shoot dime-sized groups forever at 50 yards. If I use Yellow Jackets or Vipers, I can put 50 rounds into a single jagged hole half the size of the fingernail on my pinky -- and that's not very big! It won't shoot Stingers worth crap, though, but most guns don't (except my Iver Johnson TP-22 Walther look-alike mouse gun).
When new, this gun was supposed to be the entry-level economy model, but the finish and workmanship on this gun is superior to most everything you see today unless you spend many hundreds of dollars.
I've got other .22 rifles, but this 541 is probably my very favorite, and for more than just sentimental reasons. Being a single-shot, it forces you to be much more careful about shot placement.
Allen