Jed is to Zeus as Granny is to

... Rhea. Jethro is obviously Hercules and Ellie Mae is a reasonable stand-in for Aphrodite. I don't know why this never occurred to me before. For the interested student: Solve Petticoat Junction for Dionysus.
Update. It turns out that Granny is Daisy Moses, Jed's mother-in-law and Jethro is, as I ought to have recollected, a Bodine. This throws things into a somewhat different light if I am strict with the family relations. Jethro's notable strength really does point to a Herculean cognate, though. Fiddle-faddle, I have no enthusiasm to look up Greek gods' cousins.
Update to the update. I propose that Jethro is a Titan, Epimetheus, a notable fool. But where is Prometheus? Perhaps the interested student could search for him in Petticoat Junction or Green Acres? The possible mother's-in-law for Zeus is a pretty wide field but Ellie Mae / Aphrodite's mother is Dione whose father is Epimetheus. Yes, Jethro is Ellie Mae's grandfather and I defy anyone to prove me wrong. Why shouldn't Bugtussle, Tennessee be every bit as inbred as Olympus.?