Well, in the games, usually there is something that "Dad" bought in your room (i,e," A TV Dad gave me for my birthday" when looking at the TV in your room in BW). B'sides, I always thought he was out on his own adventure. Also, I believe in DPPt, Palmer was Barry's (Pearl/Rival) father- It may be possible the Protagonist's father has a similar role (I always thought that Caitlin's Butler/ Battle Castle Frontier Brain looked suspiciously like the protagonist for some reason).
In the anime, isn't it said that Giovanni dated Ash's mother? And with that, wouldn't there be (or has been) speculation about Ash being Giovanni son? With that, wouldn't that make Ash "Silver(?)"