As to your first question - we're going to have to respectfully ask that she not, sorry! We're not out to dissuade people from trying to learn about their mysterious Goomies, but we feel the scenario with Rose as you've described it is toeing the line of metagaming and we'll have to ask that you refrain.

As to the second, they can be taught TMs, if your character would think to attempt it and be willing to spend the money trying!