My Egyptian Walking Onions have reached the point where they are so top heavy they are starting to fall over. My photos are to show you how they behave once they reach this state. The bulbs forming on the top have put out stems of their own. In the top photo you can see these are curling and vining around the other onions growing nearby. These become a tangle of onions, get top heavy and bend over- hence, they walk. The little ones will put down roots where they fall about two feet from the parent plant.
I've done a quick bit of research online. So far, what I've found indicates these onions probably did not originate in Egypt at all. Some speculate India. If anyone knows more about the origin of this plant, please post in the comments. They are also known as Tree Onions and Top Onions.