Damian is not a Satanic name. The only reason for the name being regarded as Satanic is due to The Omen series of movies. The first and original film in the series (The Omen) was released in 1976. In the film, a boy character named Damian (Damien) plays the Anti-Christ (the devil in the flesh) and thus began the association of Damian (Damien) with Satanism. If this movie had never been made, the name would probably never have been associated with Satanism in the first place. As for the name itself, it's original meaning is Greek and means, "to tame." One other meaning also associated with the name is "of the people." Regardless, the name Damian (Damien) is no way related to Satan, Satanism or anything evil in nature. It's just a name like any other name. In fact, you can blame the Omen films for making the name taboo in some respects. The bottom line is there's nothing wrong with naming your child Damian (or Damien). It's a fine name. Just don't watch the movie Omen or you might think twice about naming your child after a fictional Anti-Christ.
Damian Coyle's birth name is Damian Gerard Coyle.
Damian Butlin's birth name is Damian Butlin.
Damian Begley's birth name is Begley, Damian Amadeus.
Maila Damian's birth name is Maila Ayson Damian.
Damian Cecere's birth name is Damian Gower Cecere.
Damian Candusso's birth name is Damian John Candusso.
Damian Callinan's birth name is Damian Andrew Callinan.
Damian Perkins's birth name is Damian Jean Neptune.
Damian Pelliccione's birth name is Damian L. Pelliccione.
Damian Wagner's birth name is Damian Francis Wagner.
Damian Maffei's birth name is Damian Paul Maffei.
Damian Aleksander's birth name is Damian Bogdan Emanuel Aleksander.