Goodgulf:
I didn't know about the "Owlman", but this character was not inspired by him. The two characters should have nothing in common.
Well, I didn't believe that your "Owlman" was inspired by the DC Comics character, since he isn't that well known these days. I recognized the name yet didn't remember much else about him, except that he was obviously inspired by Batman. (It's no coincidence that a bat and an owl are both nocturnal flying and hunting animals.)
Since your "Owlman" is clearly a parody of Batman, while DC's is an evil counterpart of him (albeit in a parallel universe), there might be some unintentional similarities.
You're right about superhero/supervillain names not being copyrighted, for instance both DC and the Marvel Comics Group have characters called "Captain Marvel."
Of course, DC has "Wonder Woman" and "Power Girl," while Marvel has "Wonder Man" and "Power Man"... --C.K.