I got kind of lucky this spring. Two weeks before I hived my first pkg of bees, unbeknown to me at the time, a neighbor 4 houses away had a swarm in a tree and called an exterminator to get rid of it. (soooo wished I had known about it.) But the point is, there's either another beekp fairly close by or a feral colony around (live on a small 56 acre lake in the city) and I can now easily claim that any future swarms that land in neighbors' yards aren't necessarily mine.
I did catch one small swarm in August I am sure was mine as it was hanging just 4 feet from my hive in a Yaupon tree.
Question: Does the first swarm from a crowded hive always take the reigning queen with it and leave the supersedure queen(s) to take over? So then an afterswarm would necessarily have a supersedure queen.