How Can Constipation In A Child Be Treated?

Hi - My 1 and a half year old daughter has struggled with constipation for months now. Our pediatrician told us that it s normal for toddlers to be constipated, but this doesn t seem normal. It is painful, and interrupts her play several times/day. She struggles to get just a small amount of poop out and often it is sticky and partially stuck. We ve recently (10 days ago) eliminated dairy from her diet in the hopes that would clear it, but it has persisted (prune juice was not effective). She eats vegetables every day, and usually has two eggs/day. Snacks are usually fruit (we ve limited bananas since we learned they can contribute to constipation) or organic Peanut Butter crackers. About 6 weeks ago, she also developed an eczema like rash on her chest and back which seems to be getting worse and is now behind both knees. I welcome any advice! Thank you!