Hi Dek
£3-400 will buy you a good kit to start off with, don't forget you'll need a memory card, bag and possibly a tripod as well.
Have a look here
http://www.camerapricebuster.co.uk/Canon/Canon-Digital-SLRs it lists all the Canon / Nikon / Sony / Pentax prices etc so gives you an idea of what is about and at what price.
Your daughter really needs to have a feel of different bodies etc to see which she prefers, which menu system is most intuitive to her etc etc...
Personally I'd but the body and kit lens (normally 18-55mm), memory card, bag, tripod (for landscapes etc) and see how she goes from there, then as needs arise further lenses can be sought - a zoom lens (say 55-250mm), or wide angle (say 10-20mm).
Hope this is of some help...