Well I think you should be searching for a HALF GOD. It's basically a god with a human mother and a god of a father. All the Gods in Greek Mythology lives on the top of the Olympus moutain. Zevs had a lot of children, I have a map somewhere with whom he got kids with and all the kids o.O Not sure where my book is, but I'll search for it..
I think you could give Aphrodite a quick search too, I think she fell in love with a human, and I think they got a child, eros/amor, or something... a love child, with bow and all, ya know..
I'll go look for that book now, but I'll be glad to help, I didn't learn much about greek mytology in school, but I had arthistory and colture for three years, so the names of the buildings, and the style of the pillars are still in my head if you need em

There are twelve gods at the mountain of Olympus:(north greece)
Everyone of them has an attribute, and they were all basically gods of nature, and were worshipped in the nature, often were it was very beautiful, or placed that stood out. Like High cliffs--
The top of the mountain is almost always covered in clouds(like inHercules)
The first god is Zeus, the god of thunder/lightning.. at most times he has a beard, and the lighting in his hand. His wife was Hera who was the goddess for families.
Athene, daughter of zeus, was born out of his forhead. She's always dressed in a armour, and she represents the clear thought.
Poseidon, Zeus brother, is the ruler of the sea.
Artemis, sister of Apollon, she was the goddess of huting, mostly her statues are with a bow and arrow..
Apollon, was the god of art and science.
Apghrodite, of course the goddess of love.
Dionysos, was the god for wine, though he used to be somehitng else..
Demeter was the corn goddess..
Hermes was the god for the travelling, he was also the god's messanger, (you know in hercules he has wings on his hat and feet) he also brought the dead humans to Hades.
Hermes isn't one of the 12 gods, but he takes care of the underworld.
Ares was the god of war, and disturbans, .
Hefaistos, was both a smith, and a volcano god, he was married to Aphrodite( I think he was a half god too)..
a bit more...
Zevs + Metis = athene (father and mother got their daughter)
Zevs+ Leto = Apollon and Atemis
Zevs + Alkmene = Herakles( Hercules)
Zevs + Danae = Persevs
Zevs + Europa = Minos
Zevs + Leda = Helena
there are loads more of his children like, Dionysos, Hermes, etc.. hell he got too many children..
Aphrodite + Ankhises = Æneas.
I hope that helped a bit, but wikipedia should be a good place if not

By the way, in your story Zevs would probably be the most logicall reason for his father, since he's the top guy, and he's known to have had many womens, so it's not difficult to create another son for him
Plus he's sons were, Apollon, Hercules, Hermes, Dionysos, Ares, Hefasistos, and probably Persevs(if that is a male name)..
If Minons is a male name, he too is his son..