The Sword of Johnny Damokles originally appeared in the March 1943 issue of Planet Stories. The version reviewed was the reprint featured in the Fall 1953 issue of Tops in Science Fiction.
A tribe of evil Neptunian lizard men have stolen a copy of Mein Kampf and used it as a blue print to unite the other tribes of evil Neptunian lizard men to launch a war against Earth. Only Ti, the brave spaceman, and Johnny Damokles, the charming Greek space cook, can stop them!
Seriously? You need more than that?
Okay, I’ll talk about the two most interesting aspects of this story. First of all, it’s worth noting that this piece was written mid-war; Greece had completely fallen to the Germans just two years earlier. Secondly, in the distance future portrayed in the story, out of all of the people in the human solar empire, only the Greeks managed to retain their unique cultural identity.
Of course, this means that Johnny Damokles comes off at first as a caricature of the fat clumsy Greek (“Why you a make the fun of the Greeks? She are a great peoples!”), but he eventually wins over Ti by showing himself to be both brave and clever, willing to fight and brave death against tyranny to prove the worth of Greece’s greatest legacies of philosophy, freedom and individuality.
At least according to ISFDB, Hugh Frazier Parker never had any other stories published, which is a damn shame.