Minerva smiled at the teenage girl. "Oh, you're the assistant? Does someone else work here, then?" It'd be nice to have company, though the thought did occur to her that she was replacing whoever had been here full time. The girl was obviously young enough to be a student; she probably only helped out occasionally.
She realized she hadn't answered the first question, and set her hose on the ground before stepping forward. "I'm Minerva McGonagall. Ms. Skeeter's assigned me to work here. What's your name?" She dried her hand off on her apron as she spoke before offering it to the girl to shake.