What are the risks of putting a two year old under general anesthesia for dental work?

I just found out today that my almost two year old, 20 pound, daughter has to have oral surgery to try and save a chipped/rotted tooth and to cap and fill other teeth. We have always been diligent about brushing her teeth at least once a day and even tried to take her to a dentist but no one in the area would see her until after her 3rd birthday. Apparently she slightly injured her front teeth months ago when she hit her mouth on a table. I noticed slight discoloration but when the pediatrician never mentioned anything wrong I figured it was normal. Then weeks later she hit her right incisor with a heavy cup and chipped it in half. Thats when I decided it definably couldn't be normal. So today we took her two hours from home to the closest pediatric dentist and they said they would try and save the chipped tooth and then clean and fix all the other damage. Our two options are to keep her awake but strapped to a papoose board while they work for two 45 minute sessions (NO WAY on that one) Or to have her put under general anesthesia and have all the work taken care of at once. While this is the obvious way to go, I'm still scared and want to know the risks and or other people's experiences in similar situations. Help?
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When it is done in a proper environment with a well trained staff, the anesthetic is very safe, although you can never totally eliminate risk for any procedure. Talk to the dentist about you concerns. Good luck to you all.
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