As she is throwing up after she eats you may want to look at the ingredients in the food you are feeding. Dogs can develop intolerances to an ingredient such as corn, wheat, soy, beef or even preservatives - almost any ingredient can do it. There are foods available without any of the common allergens in them including California Natural, Canidae, Wellness fish, duck, rabbit, venison etc. Pet supply stores carry these sorts of foods. The mange may indicate an immune problem which would make her more susceptible to allergies.
As she is a puppy though you may want to check out other things first. Have the vet check a stool sample for parasites.
You may also want to have your vet x-ray her to see if the problem is a portion of a sock, tennis ball, a rock, a toy etc in her stomach causing the problem. A foreign object that won't pass through can cause irritation making a dog vomit.
Hope this helps you!
Edited by NHolmes on March 10 2006 at 10:38 AM
Please press Accept if you find my answer helpful. Want more info? Just reply on your question!
Bonuses for good work are always appreciated!
Thanks for the opportunity to help you!