The name Moby is a boy's name . Moby and discussed in our forums with posts like "Yes or No".
From the experts:
Moby, the nickname of musician Richard Melville Hall, was thanks to his ancestor Herman Melville, creator of the infamous whale. You can imagine calling a child Moby as a cute nickname in honor of a grandfatherly Richard or Dick, but the ghost of a Dick would always follow the name around. In Melville's classic book, Moby was an invented word whose meaning has never been firmly established, though the best scholarship calls it a fictional place name that, in the custom of whaling ships of the time, helped identify the whale called Dick.