I'd be nervous too about a young woman travelling alone, but they are all doing it these days.
Copies of passport, medical insurance yes, but upload them to a sky drive or keep them on your e-mail account, so that if the paper copies get lost, stolen or whatever, the traveller or the police can access the copies.
Try to persuade anyone travelling alone to carry a card stating "In the case of accidents or emergencies, please contact" followed by phone number, e-mail and postal address of a near relative. I know it sounds morbid, but if it is ever needed it will save a lot of time and trouble.
Details of allergies and blood type should be carried too.