Can't find a model number on it anywhere. .22 Single shot.
And I do know what the other is

Looks like one of the many versions of the Model 44

Open the lever and look right behind the trigger on the lower tang. There should be a number... I believe this one is a 44. If it has a heavy barrel it is a target model and may have a different number. The photo leaves a little to be desired. Can't see the complete forend or butt plate. This would all be helpful. Hope this helps you some.

John

From what I can see in the photo, except for the style of forearm on yours, it looks like an old Stevens 'Favorite' .22 we have.

OK could be a 414 on the spot you asked me to look, very worn even using a magnifying glass it's a faint thing. Two more pix.
It does have a heavy barrel.

Contact member GeneB. He is the man when it comes to Stevens / Savage .22's.

Here's one like yours but with a scope instead of the tang site.

https://www.liveauctioneers.com/item/11273932_stevens-model-414-armory-model-single-shot-rifle

That's a 414 "Military Model",....fitted up with an "incorrect" after (and later) market tang sight, and what looks like a Beech front sight. Need better pics to say fo shu.

If you want to do a little horse trading for that one, lemme know.

GTC

More pix I can do, no on the trade, it's my new back yard plinker. Grandfather's gun, going to kill some tree rats with it, because. Will bench the remmy 513-t and this one to see which is the more accurate. Grandfather liked accurate rifles. Both were his. The 513-t managed to get me a state champ trophy in 4 position.

That's an impressive ID.

Congrats on a very cool rifle shreck.