Piper is my companion, and I got her to stay in the Starlight Drive-in. I did the interview for her, went and did some quests, came back and she is running around in my power armour (should have taken the fusion core!)
After a few minutes, she leaves the power armour in her underwear and runs off to start farming.
I've traded with her and given her a variety of clothing: vault suits, long johns, combat armour, but she never wears any of it.
My family are beginning to think I'm playing some kind of weird game involving big green mutants and small naked girls - how can I get Piper to wear some clothes?