These are in fact made for and sold by sears. I have two.
One is a semi auto 22 and one is a 22 bolt action.
The bolt action belonged to my father, and I picked up the semi at an auction.
The serial number should be on the barrel if memory serves. Is it rusty? Maybe its there and coroded away?
The bad news is that these are not common and spare parts may be hard. Also they are not exactly a ruger 10 22 in the acuracy department.
I only picked up the auto since it was the twin of the bolt which I have sentimental attachment to.
Also it was a auction for a lady who had just lost her husband and this belonged to him, so I looked at it as charity in a way.
Probably paid more than it was worth, which I fear is ~$0.
But of course that is the nature of an auction. If you are the high bider then you just paid more than any one else thougt it was worth....
I bieleve that most are circa 1950.
Fred