Whether or not Jake's mother has substantial role is not clear yet, only rumor. It wouldn't shock me, however, as they have fundamentally changed nearly every character and backstory so far. Since they appear to be going the Excalibur route with Jake, i.e. making him the crux of reality and saving the world, it would mean that they will tie Roland to the boy in backstory. Somehow they will have a previous connection, perhaps when Jake was an infant this version of the Gunslinger was part of hiding him in our world. Who knows; it is all very disquieting to me. If they do go that route, sort of a Harry Potter under the stairs direction, it will mean that Jake's mother will have to be a part of it or explained. This is all conjecture, of course, but all very tried and tired Hollywood approaches. Still, we don't know who the newest actress has been tapped to play, and she went out of her way to cover up her character's name. That is odd. Why would she do that? They haven't been shy about any of their other characters. That, in my opinion, doesn't bode well at all. The only reason to do it is because it promises to be a storm of reaction from fans of the book.
Off the top of my head, I remember no character of the importance by the name of Timmy. Jake did make a friend in Wolves of the Calla but his name isn't Timmy. I suppose I could be forgetting some minor person mentioned in The Wastelands briefly as talking to Jake. Whomever is writing this story seems to love grabbing minor, walk on characters and blowing them up into major ones. I suspect this is because they feel unconstrained by the source material in doing so. If such a one paragraph character doesn't exist in the books, it is clear they mean to create one.
