Astigmatism on my daughter left eye because of Hemongioma

When my daughter was 2 months old her left eyelid on the cornner next to her nose swalloed, I took her to her pediatric & she gave her an antibiotic ointment for 7 days. I applyed it to her eye but it didn't go away since now when she is 7 months so I took her to the ped opthemologist yesterday(March 21, 2007)she said it might be Hemangioma since she has one on her head & one on her back. So she recommended her for MRI. Then she examined her eye and told us she has also a high Astigmatism on her left eye and it looks like a football because of that swalloing eyelid and she has anisometropia. The Dr. said she might need spectacles or occluding the normal eye. Now my Question is:  Does the medication for shrinking the Hemangioma have any side affect? how long does it take for Hemangioma to go away? if it goes away is there any chance for my daughter's Astigmatism and anisometropia to get improved or reversed or at least reduced?  
we got the MRI on my daughter and her opthimologist said it's a hemongima in her upper eyelid. she didn't do anything for treating my daughter Astigmatism which makes me worried. She believes we have to watch it & wait to shrink by itself which I don't get it if it didn't shrink by itself what would happen to her eye? this passing time with the potsis eyelid might make it worse. She didn't even give amedicine to shrink the hemangioma!!! Please make it clear for a very worried new mom, What is the solution for my daughter's eye? What doctors usually do in this case to get the best resalt? I don't want just wait to see my daghter is wearing glasses over nothing!
Thanks for your help