Not in the least surprised that discussions about food (it being a necessity) draw a large audience, I don't want to miss my cue: Did you ever reflect that, when we use possessive constructions for an animal's meat, there can be no question of possession anymore, because the subject has ceased to exist? The former subjects have been disassembled into their constituent parts, which are treated as matter. The case of milk is different: hence cows milk. The cow has given her milk. The goat, however, has no cheese to give, the production of goat cheese (which can contain cows milk) is beyond her reach.