We don't know if Poseidon did have a child named Adrian. But if your name appears to be Adrian or if you want to know if you are Poseidon's child first take a quiz if you are a demigod. Demigod means half human half God, demigods are born if a God mates with a human. Then if you are a demigod take a quiz to see who is your god parent or immortal parent. Hope this helps! :)
Maybe you are thinking of the 'Diary of Adrian Mole'.
Cronus and Rhea
Adrian Devane's birth name is Adrian Joseph Devane.
Adrian Makala's birth name is Adrian McCalla.
Dondy Adrian's birth name is Dondy adrian.
Adrian Quinonez's birth name is Adrian A. Quinonez.
Adrian Arminius's birth name is Adrian Herrmann.
Adrian Moorhouse's birth name is Adrian David Moorhouse.
Adrian Neblett's birth name is Adrian Francis Neblett.
Adrian Laing's birth name is Adrian Charles Laing.
Adrian Snow's birth name is Adrian Olivia Snow.
Adrian Roberto's birth name is Adrian Allan Roberto.