SirMike1983
Riding a '38 Autocycle Deluxe
English bicycles became very popular in the U.S. after WWII, along with English cars and motorcycles. The lightweight 3 speeds are still sometimes referred to as "English racers" and compared to a single speed balloon tire bike, you can see why. Schwinn put Sturmey-Archer hubs in their own lightweight frames, but Huffy and AMF imported complete bikes (Raleigh and Hercules) and sold them under their own badges. It's no surprise that the big chain stores imported English bikes, but even for the manufacturers, designing lightweight three speeds from scratch would have taken time, and evidently English bikes were available at good prices after the war. Post some pictures of your bike and somebody on here can probably tell who made it.
"Export or die" was the motto for the British right after WWII. They relied heavily on exports to the US for revenue in those days. The English-made bicycles represented an extraordinary value in utility bicycles at that time, so several brands imported them under various labels.