With a swarm there is no telling unless you know it is a swarm from a particular apiary that has a certain genetic background. I just assume any queen from a swarm is a mutt. There are no big apiaries near me so I have no idea of where a swarm originated. What you want to focus on is her behavior-is she productive? Is the hive too aggressive where you have to suit up, tape your pants legs closed, and wear gloves?
Here in Georgia, it is recommended by the Dept of Agriculture to re-queen any swarms caught to ensure the swarm queen is not carrying African bee genetics and then passing them on. .
This is an Italian queen (per the apiary that sells them):
This is a Carniolan queen:
This is a Russian queen: