Question: If Clark Kent didn't wear his glasses would people recognize him as Superman?
Sandra Knight doesn't wear glasses and her alter ego Phantom Lady doesn't even wear a mask, so how come nobody puts two and two together? I can't figure it out. Perhaps no one ever looks at Phantom Lady's face. Because, I swear the Phantom Lady is drawn with a much larger set of, shall we say, bazongers than Sandra Knight possesses.
No matter. Phantom Lady is a superhero by dint of her portable black out ray, which looks a bit like a fat iphone. Without it, she's toast. (Well, that's what they'd like you to think, but she still remains pretty scrappy.) How many other superheroes have to rush to a taxi and say, "Follow that cab!"?
For your enjoyment, the December 1954-January 1955 issue of Phantom Lady: