Pleased your hen has been ok during her move!! Mine can be really difficult, and are determined that only where they have chosen to sit will do.
I don't use shavings with small chicks, as they do start pecking for food, and could easily choke on shavings, so straw is better. Although, all my hens scrape out whatever it is, hay or straw, and make the chicks sit on the bare floor for some reason.
Fingers crossed for a successful hatch.