It's no mystery at all, Kevin.
WW Super is/was the headstamp for Winchester-Western commercial ammunition. At one time, WW used a brand name called "SuperSpeed" to indicate the were high-velocity cartridges.
Winchester bought out Western Cartridge company in the late 1920's or 1930's, I believe. Your cartridges are probably post-WWII manufacture.
As for the flat nose (bullets) being larger than the 180 grain bullets you've seen, they could be 220 grain soft-points with the tips battered from handling.