The logo seen at right was imprinted on the inside of a plastic Wesson vegetable oil bottle cap.
I say it’s an eagle made out of flames, the logo for whatever company made the cap.
Jeni says it’s a bottle cap over a fire, a symbol meant to instruct people not to put the cap in fire.
Thanks to Adam, who pointed out in a comment below that the mystery image is the logo for Phoenix Closures. Looks like I win!