Seems a little odd.
Does she want to hire you, or make you a subcontractor?
Will you be using your equipment?
I can understand that she saw you alone, and figured if you run your own business, smaller than hers, she can buy you out, and use your 'leadership' and 'responsibility' to help manage her company a little bit.
As for running a crew, do as little talking as you can. Don't make friends if you can help it. Give them duties.
Guy1: Back mowing
Guy 2: Front mowing
Whoever finishes mowing can grab another trimmer. The last guy with nothing to do, can use the blower
It's efficient. If anyone is left standing without a task, have them clean out the garbage from the truck, and grass the trailer.