Is the woman on the cover Commissioner Dawn (thinking "my detectives are going to be working overtime on this one")?

Just curious, i love the artwork with this game.

Yes (this was clarified by Kevin Wilson somewhere).

Makes me wonder then if anyone in particular are on the Arkham Horror/Mansions of Madness covers.

I'm pretty positive all of the Lovecraft-based games have FFG's characters in all of the box art.