Sears sold a ton of single shot Pieper bolt action rifles in the 1920s and 1930s. I can't say for sure that this is one of them, but if it is, it's just a basic .22 shooter with no particular collector value. By the beginning of the 20th century, the Pieper family had no association with the company.
That's not to say that it isn't worth taking a look - but it definitely is not an Austrian falling block and I don't think that it's worth a premium, but I'm not an expert.