Re: Remington model 33 .22LR mfg. date???
You need to buy a Lottery Ticket. Those Remington 33s are really great little .22s. I think they are just about the perfect rifle for teaching a kid about gun safety and getting them into shooting. That manual cocking feature is just about the coolest feature to have for a youngster's first rifle. Teaches them to slow down and make the shot count. AND they are a classic.
Congrats on that find! With no pictures it's hard to guess at a value, but if it's all there and shootable, I'd start with $75 as a guess. Might go up to double that, depending on condition, at a Gun Show or private sale. They are really simple to work on. Just don't over do the wood sanding (if required). I've re-blued .22 single shots that were pretty rusty, and they came out fairly well with those Birchwood Casey kits. Just follow the instructions and take your time. You can have a Gunsmith do it, but that would run about as much as the gun is worth.