This item has been appraised. Following are the appraiser's comments:
The small vase is of a type of ware made for export to Europe during the Qing dynasty in the region of Canton (known in Mandarin as Guangzhou).  It shows a fusion of traditional decorative motifs, floral patterns and symbols of southern Chinese culture with Western/European influences, such as more vibrant hues and dense, intricate patterns.  The term for this type of ware is Guangcai, translated as "Cantonese colored porcelains".  It has no association with the imperial kilns, and would be considered more of a folk art.  Likely its purpose would have been as a vase for flowers, which also adorned ancestor altars, or if exported to Europe or America, for the same purpose.  Did you know, by the way, that the ships filled with tea that sailed into Boston Harbor and were the cause of the "Boston Tea Party" in Colonial America were also filled with lots of Chinese porcelain for ballast?  Many early Americans, including Thomas Jefferson and George Washington, had Chinese porcelain dinnerware in their homes. 

There are no cracks or chips. The "paint" is raised. The base is rough. Height is 5.5". No paint chipping. Acquired from an aunt who was a missionary in China in the 30's - early 40's until the communists gained control. 
Appraised value - up to $500.