It was Eckstine, incidentally, who nicknamed Gene Ammons "Jug"—a shortened form of "Jughead." Eckstine had ordered straw hats for the band to wear during performance, but Ammons' hat didn't fit him.
Now, I don't know if that story's apocryphal or not, but I've read it in more than one place. But maybe Eckstine just had a small head?