Anyway, I know they think I am a nut, but DH talked to his mother. They are going to put the dresser in the hall way with the doors facing the wall so Ro can't open them (which really isn't my concern-it falling is, but I digress). And on the off chance it does fall over, they even measured the hall to make sure that it will just end up leaning against the wall. So, despite the side eyes I am getting I know she will not get pinned under a dresser at least.
They are also going to put up a few gates just in case she decides to wander off. Not sure how she'll feel about that. We haven't used a gate in a year!