Come on guys, you're engineers, figure out how to fix the situation instead of complaining about it. People do stupid things every day and it's a great way to get inspired and make some money
1.) Make semi-flexible extensions for the stroller to directly attach to the frame of the segway. That way when the segway moves, the stroller moves. The same force that would cause the segway to tip sideways is the same force that would cause the mother to flip sideways, therefore there's minimal risk due to this. In other words, Segways don't flip their passengers over by themselves, and mother's don't flip themselves over alone either.
2.) Make a carrier or hooks so that bags may be safely placed into/onto them on the segway frame. This way the mother can drive with both hands.
3.) I'm sure there's already speed settings, however the segway could have a sensor that detects when the stroller is attached. Upon detection, it would scale the max speed back to a person's normal walking speed or slower.
4.) If you wanted to get really fancy, you could come up with a simple differential system for the stroller so that when the segway turned the stroller turns slightly as well. This would allow for better direct stroller control.
So with modifications, how exactly is this dangerous? If she could put 2 hands on the stroller, it's as if she were walking behind it. If you compare walking down the street to driving in a car, this is as safe (with mods) as a a mom/dad in a minivan with a bunch of 6-7 yr olds -- and some of us know how much "fun" that can be. And just think -- she could be
running across the street with the stroller in front of her.