The second egg was layed in the corner of the coop, by the nesting box.
I put an empty ice cream bucket in the corner to discourage her from laying there. She layed in the other, far away corner. I put the ice cream bucket in that corner. Then I did some nesting box renovation. I put a lip across the front of the nesting box and filled it with several inches of pine shavings. I put a fake wooden egg in it.
The next day, success. An egg sitting right next to the wooden one.