Okay, so we have two separate problems.
1) Sheri - was the mouse cursor just "drifting" across the page without you touching it, or was it actively moving a certain way even when you tried to stop it? I want to rule out the possibility of erroneous mouse inputs (laser mice in particular can suffer drift, where the mouse moves in just one direction until disturbed). If you're using a computer with both a touchpad and a mouse (or two mice connected), that also could be the cause if both where receiving inputs at the same time.
2) Marc - since you're on an iPad I assume you're using Safari. Do you have a keyboard attached, or are you just using the screen?