Sorry I'm late guys. Between house-sitting, pet-sitting, and trying to wrap up my current Rat Rod Bikes Build Off entry, I haven't been browsing the forums quite as frequently aside from figuring out stuff for my current bike.
Ok, like the others said, I'm pretty sure the bike in question was sold as a Rollfast. Did Snyder build it? That I don't know. I'm sadly not an expert on bicycle manufacturers. However, I know the bike is
NOT an AMF AMFLITE bike, as I own one and recognize the frame shape. The bike in question is
similar to an AMFLITE, but there's one key difference between this bike and an AMF: on an AMFLITE, the down tube is
straight, while the down tube on this bike is
curved. And while the frame on this bike does look bent, the curved down tube is not curved because it's bent. The twin top tubes on the AMFLITE are also not quite as curved as the ones on this Rollfast. What you're looking at is basically the 26" version of my 1969/1970 Montgomery Ward Hawthorne muscle bike. The frame shape is basically the same, except mine's a little more squat, because it's a 20", not a 26".
Now unfortunately, I could not find another example of a 26" Rollfast with the same frame style, at least on Google. I did see a 20" Rollfast that's identical to the Hawthorne pictured above, but that's it. When I searched for a Hawthorne, however, I found photos of both a men's and women's bike that, while sold as a Hawthorne, are both the same bike as that blue Rollfast. They even have listings on ebay!
So that's the sort of bike you're looking at. I wish I could help you with figuring out the manufacturer, but my best guess would be Snyder, as they built bikes for Montgomery Ward and Rollfast back in the 1940s and 1950s. Hope this helps!