I know how difficult this is.

My son is severely allergic to peanuts and soy.
Luckily, the chances for your dd to outgrow her allergy to milk and egg are pretty good. Until then, here's what I can suggest:
For peanut-free snacks, I make a lot of my own things. Cookies especially. You can make her fruit muffins, veggie sticks, applesauce, crackers and jelly, cereals, fruit, popsicles, canned pineapple slices, mix fruit smoothies using frozen fruit and a banana (banana makes it creamier)...
For meals, my son loves spaghetti (get egg-free noodles), chicken and veggie stir-fry, tacos, hamburgers (check ingredients on bread), quesadillas or grilled cheese sandwiches (use soy cheese and check ingredients on tortillas), baked chicken and veggies...
As I think of more food ideas I will post again. How allergic is she? Will you need to carry an Epi-Pen?
By law, all food items must be labeled with potential allergens (at least nuts, milk, eggs, soy, wheat, shellfish, and I can't remember the rest). So pay special attention. It's a lifestyle change for the whole family.
I hope something here helped
