I pulled/split the queens in 5 of my hives due to swarming and let them finish several cells in each. In one I was sure was going to be LW in a week if there was no queen I did the "velcro test" with a laying queen from a hive I was looking to re-queen they seemed to accept her so i let her walk in the front door.
Three days later I went back and found several eggs in random spots around the hive in groups about the size of a golf ball on different frames. I at this point decided to shaker box the whole hive to find the queen for curiosity's sake as the random eggs seemed odd to me. Well I got to the the last box and found a new queen who obviously didn't like the old one I sent in who was no longer present. I then put 2 boxes on the bottom board planning to put a queen exclude on so it would be easier to monitor her next time. Well she flew strait up and off when I left her cage open for her to walk out. Then I was concerned she may land on a super as they were all heavily fanning on top of the bars so I quickly put the stack back together and left it. Came back 1 week later and found lots of capped brood..
I found similar laying patterns in my other hives when the newly MQ just starts laying. Almost looks like they just walk around and test out their new features a bit especially if its an already established hive with lots of space and some back filling.