Interesting article shows Mesolithic use of dairy came a little earlier than previously thought. However, it wasn't milk drinking, it was butter, yogurt and cheese:

Stone Age Milk Use Began 2,000 Years Earlier
http://news.nationalgeographic.com/news/2008/08/080806-prehistoric-dairy.html

Prehistoric humans consumed milk at least 8,500 years ago—up to 2,000 years earlier than previously thought—new discoveries of the the earliest known milk containers suggest.

The find shows that the culinary breakthrough of using animal milk was first developed by cow herders in northwest Turkey. The first milk users, though, are not thought to have been milk drinkers—but butter, yogurt, or cheese eaters.

Evershed and his team analyzed more than 2,200 ceramic vessels from late Stone Age sites across Turkey, southeastern Europe, and the Middle East.

"It's where you start to see milk really being used," Evershed said. "As you go to other locations, the cattle evidence is much weaker, and the milk residues also show up much more weakly."

Burger's own research indicates that raw milk wasn't part of the late Stone Age diet, since adults were uniformly lactose intolerant as recently as 7,000 years ago.

However an inability to drink milk wasn't necessarily a barrier to earlier dairy consumption, as lactose breaks down during processing, Burger said.

Even so, raw milk probably wasn't consumed until some 1,000 to 2,000 years later, he said.

Lead study author Evershed said dairy production would have been a key driver in human civilization: It provided a reliable, year-round source of nourishment and allowed a key staple to be produced on a large scale.

In lactose-tolerant central and northern Europe, dairy farming became "the basis of our culture," according to Burger of Mainz. Dairy products gave lactose-tolerant people, he said, a major advantage over fellow Europeans.