I remember my goregous 3 year old ds2 feeding on one side, wiping his mouth with his sleeve, looking up at me in almost drunken bliss and saying 'Ugga Shide'. (Other side). It made me laugh.
I also remember a time when dd1 was four, she fell really badly in the swing park and screamed and screamed. It was a nasty bruise.
I cuddled her ... she just arched her back and screamed, I tried to calm her with words .... no luck. Eventually I offered her the breast (she hadn't had any for a few months but I was still feeding her brother) and she had a lovely long suck and was soothed and calm in no time.
I remember sitting on the bench with her, relieved and deeply contented, feeling so grateful to breastmilk and in awe of its power. I also felt very proud of myself to be able to sooth my daughter this way.
Breast milk is such incredible stuff. I wouldn't pretend to understand it but I could never feel squeamish about such a beautiful thing.
Funnily enough though, I DO feel icky about cow milk.