Hi MaMight, The best natural remedy to use for head lice is Tea tree conditioner.
Here's what you do: Using the lice comb, work through the hair absolutely scrupulously, backwards and forwards and from side to side (concentrating on the tiny hairs at the back of the neck and beside the ears). You must rinse the comb out every time.
Once the comb comes out clean (no crawlers visible), then rinse the hair and repeat this process EVERY three days for two weeks - this breaks the life cycle of the lice and stops them from producing nits (eggs).
But you say you don't have time on your side? Then you might want to try the quicker (albeit harder) way to do it. This method might be easier if your daughter has short hair, if not, you might want to consider cutting it a bit shorter.
Still using the Tea Tree conditioner, get all the crawlers out with a nit comb and dry the hair.
Sit in a well lit area (outside is best or near natural light, as the eggs are very hard to see and if you miss one, then it will start all over again).
Look at your daughter's hair section by section and when you see an egg, pinch it between your nails and pull it off, along the length of the hair (have a bowl with water near to dump the egg in). Do this once a day for 3 days, until you see no more eggs - my head is itching just talking about this!
Good luck!