“Blue and white ceramics or pottery” covers a wide range of white pottery and porcelain decorated under the glaze with a blue pigment, generally cobalt oxide. The decoration is commonly applied by hand, originally by brush painting, but nowadays by stencilling or by transfer-printing, though other methods of application have also been used. The cobalt pigment is one of the very few that can withstand the highest firing temperatures that are required, in particular for porcelain, which partly accounts for its long-lasting popularity. Historically, many other colours required overglaze decoration and then a second firing at a lower temperature to fix that.
The origin of this decorative style is thought to lie in Iraq, when craftsmen in Basra sought to imitate imported white Chinese stoneware with their own tin-glazed, white pottery and added decorative motifs in blue glazes. Such Abbasid-era “blue and white” pieces have been found in present-day Iraq dating to the 9th century A.D., decades after the opening of a direct sea route from Iraq to China. Reference: Wikipedia
Below are some examples, information and price guides to blue and white ceramics which depict butterflies, including a wine flask and a blue and white butterfly vase.