Milk allergy

Does milk allergy rash spread to eye lids? My LO started cows milk a few weeks ago. She started off slow with the milk in her formula then now to full cows milk bottles. We have been battling what we believed to be eczema because it runs soooo heavily in both our families but now I think it might be milk related. We have cut out milk completely and will be finding an alternative and following up with our pedi but I just don’t want to go in sounding clueless. Plz help