An Anatolian wild sheep. Looks a lot like a goat.
Archaeological data suggest two different areas with independent sheep domestication events in Turkey: the upper Euphrates valley in eastern Turkey, where the most important reference is the Nevali Cori settlement, considered the oldest domestication site in the Near East and Central Anatolia (particularly, the Catal höyük and Asikli höyük sites.
Archaeological data from Early Neolithic human settlements distant from one another throughout the Near East support the occurrence of independent domestication events in this area. The first region of importance, with the oldest human settlements in the Near East (Nevali Cori and Çayönü Tepesi), is dated about 8500 BC and located in the upper Euphrates valley in eastern Turkey, near the northern arc of the so-called Fertile Crescent . The Zagros region of modern day Iran and Iraq is also recognized as a primary centre of sheep domestication . In central Anatolia, the Asikli Höyük and Çatalhöyük sites have also revealed morphologically domestic caprines . Finally, the Southern Levant region of southern Syria, western Jordan and Israel has also been suggested as a centre of sheep domestication. Actually, the first two regions, the upper Euphrates valley and Zagros were proposed by as the origin of two out of the three goat lineages, presumably rising from independent domestications.
On the basis of all this, the multiple sheep maternal lineages revealed in our study suggest that the process of sheep domestication was more complex than previously thought. Estimated divergence time, long before domestication dating (around 8000 BC), suggests that at least three independent domestication events were involved in the origin of modern domestic sheep.
So it seems sheep were domesticated in multiple locations.