Chicken moving eggs from one raised nesting box to another???

[UpstateChickenDaddy]

So I have a broody mama. After much unhappiness I moved her and took her eggs once I knew there was no chance they were fertile. She continued to be broody and I noticed a decrease in egg production. Nope. Same eggs. She is just stealing them. She brought the others over to her before I even knew anyone else had laid them…three boxes and two steps away.