A few hours???!!! An eleven week old puppy needs to go out A LOT -- I would say at least once an hour and maybe more, except when sleeping. At that age I would recommend going out after all naps and feedings, and about every 45-60 minutes when awake.
As for the leash -- this is a baby and so I would not expect much. Use great treats to lure her along and remember that all great learning is done in tiny steps. I would not attribute her behavior to being stubborn at all -- I think the expectations of this puppy might be a bit unrealistic :) Mary-Ann Bowman Utah
