Maybe someone can check with Orci over at Trekmovie on what his intention was. The story developer, artists and script writers are good enough sources for me if the comics aren't going to give Harry's name explicitly.
As for Harry Mudd, while his age was never given, according to Memory Alpha
, Mudd's age was originally supposed to be 47 during "Mudd's Women" (thus a birth year of 2219). By 2259, he would be approximately 40, so a daughter who is 20 or so isn't out of the question.