I would bring all important papers. She won't need her ss card but certainly no harm in bringing it.
I would add birth certificate, immunisation records (or important medical records), a decent supply of any current medicines (May take a few weeks to get registered and into a GP), school transcripts, CV, etc.
Other things will be comforts of home (I cannot stand the spray deodorants so I always stock up on stick deodorant when in the US for example).