G’day Anthony, I never cage swarm queens. You did well finding her in 10 lbs of bees. Well done. I have 2 tips for you in relation to swarms: #1 Add a frame of brood that contains plenty of young larvae that require immediate attention. #2 Dab a few drops of lemongrass oil inside the box your putting the swarm into.
A new swarm shouldn’t require feeding. However if you want to feed them, simply pour a bead of honey (honey you know is disease free) along the tops of every frame you put into the swarm box.