Is a Flying-O the name of the brand? The model? What about the hand selector? Can we see pictures of the headbadge? Is there any other identification on the frame? I never heard of Flying-O. But I know Flying-J. It was a great place to rent books on tape when I was traveling, pre-cell phone.

Agree with 1simplexnut , that is a Shimano 3-speed hub. That is not terrible, but it's not Sturmey Archer. My experience with them is that they are good or usually good. The thing with them is that if something goes wrong with it you either get a good Shimano 3-speed hub and swap the internal assembly or find a bike with the same wheel size and swap the wheel. Similar to Sturmey Archer hubs, a good flush with oil can free things up if it isn't shifting as it should.

Panasonic, Murray, Huffy, Sears and others have all used this hub. I had good luck with the Sears model that my dad had that I often used and abused. I have one now in my stash of parts that is earmarked for a Royce Union build.