Well just by what you sent us about what your looking at about 80 pound, that gives a fine idea of what it is that your budget is looking like. With that in mind. Yes you have done the right thing by coming to a forum (Nicely said 1ponders

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Basic terminologys you will encounter.
Dob = Dobsonian, all the money is spent in the optical side eg mirror.
Refractor = Unlike a reflector captures light at the front of the telescope and focus's the light to the eye peice at the back. are expensive to get something decent.
Reflector = the mirror is at the back and uses a small secondary mirror to focus the light out the side of the telescope (exactly like the link you sent us originally) basic principle of the dobsonian.
6", 10" 16" = This is the size of the main mirror/lens, what collects the light and what we will all say is the most important thing of all to us here.
a 6" dob would be in your price range, and a dobsonian would be spot on for a learner. They are very forgiving. unlike the rest of the gear that we love to use, the dobsonian mounted telescope is on a wooden base with like a lazy susan to turn it around. You manually push/pull it to what you want to look at.
Main things to get your daughter.
Planisphere - a rough guide to whats in the skys, almost like a street map.
Red light torch - So that your eyes stay good to look at the stars white light stuffs everything up.
And a good Astronomy book, all up (in AUD) this should be the most rewarding and chepest bit for you at <$50 aud. and for the dobsonian that we are talking about you can get them between $300 - $400 aud. So im thinking that you could get away with a GOOD set up that will serve your daughter for a long long time for 150 - 250 pounds.
Apart from talking to dedicated nuts like us

I belive that it would be in your best interest to be able to go into a shop locally to look at your options and physically look at them. But for a beginners scope a Dobsonian isnt just recommended its almost mandatory... so to speak. Just stay away from department stores and the like, anything you find in a shopping center more than likely will not be the place you need to be in.
Thanks 1ponders.
This is the exact kind of telescope we are talking about! in fact this is probably the one you should get, (if your daughter doesn't use it you can always use it

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http://www.telescopeplanet.co.uk/Vie...e=PON07H000018
Thats my 2 bobs worth.
Brendan