Dionysus
Yes they are. Priapus son of Dionysus, Hermaphroditus of Hermes (hence the name).
He is not known to have had any.
templepriapus@gmail.org
Yes: Priapus/ Muttunus.
Priapus was the rustic god of the bounty of the vegetable garden. He was also honoured as the protector of sheep, goats, bees, the vine and of all garden produce.
Coluber constrictor priapus
Yes, Thalia Euphrosyne Aglea Priapus
One might count Demeter or Aphrodite.
They had a horribly deformed son named Priapus.
Hermes, Priapus, Triton
Priapus and Oenopion, to name two.
Priapus Bulbous