In reply to Andrew Kinnersley:
Yes, it's fine. You might want to put a rope protector (e.g. old carpet) over the lip of the crag, partly to protect the crag, but also to protect your rope in the long term, which isn't going to be as burly as the statics people often use as workhorse anchor ropes.
You can also belay at the top of the crag, which is easy with only one rope, and means that your daughter can top-out in safety (i.e. you can make sure she walks away from the edge of the crag before going off belay).
Or, depending on your crag, you might be able to build your anchor with a couple of long slings.
So there are 3 options straight off!
(Also, the "strain" your daughter puts on a setup is a non-issue, because pretty much every top rope setup is built to hold a car, and I'm sure you're not going to be building marginal anchors for your daughter!).