CHINA -- "...The Chinese call their country 'Zhongguo,' which means Middle Country. This name may have come into being because the ancient Chinese thought of their country as both the geographical center of the world and the only cultured civilization. The name 'China' was given to the country by foreigners. It may have come from 'Qin' (pronounced 'chihn'), the name of an early Chinese dynasty (series of rulers from the same family)..." From the World Book Encyclopedia, 1991.
Under "china...china-dishes" another source says "...China (1653); borrowed from Persian 'chini'..." and under another word, Chinese, "...from the name of the country 'China' (1555, of unknown origin, but found in Sanskrit 'Cina-s' the Chinese, possibly in allusion to 'Chin' Shihnangdi, who ruled from 246 to 207 B.C.) + ese; formed in English probably by influence of French 'chinois' Chinese." From "Barnhart Concise Dictionary of Etymology" by Robert K. Barnhart (HarperCollins Publishers, New York, 1995).