Could this rash be cow's milk allergy/intollerance?

[emerino]

She was intolerant as an infant (breastfed). But gradually got better. She has been drinking goats milk for a couple months. I tried cows milk last week and she had a rash like this. Stopped, tried it again this week. She was happy and rash-free for 2 days. Now she looks like this and I don't know if its milk or from being a little sick or what. The goats milk makes her spit up sometimes so I'm not sure what to do. She'll be 1 on Monday.