Make sure tire wear is even. Uneven wear can be cheap or massively expensive to fix depending on the issue.
Drive it from a cold start to make sure it sounds and feels good at all engine temps. You or your daughter needs to drive, not the seller.
Ask a lot of questions and if they don't seem forthcoming with answers then don't buy it.
If a trustworthy shop in your area does inspections on used cars for a reasonable price it is worth the money. Found out about some difficult to see structural rust problems and a leak that would be expensive to fix that saved me from purchasing at one point. If buying from a used car lot then definitely check their reputation and get any guarantees in writing.
If at any point there is a feeling that something isn't right don't buy. There are always more cars out there and falling in love with a used car before buying will endup costing more than it should.