The Miller surname is an extremely common. As an occupational surname, it has numerous independent origins. In 1881 it ranked as the 50th most common surname in England Wales and Scotland with a frequency of 53,425 individuals and can be found in most registration districts in England and Scotland. According to Robert Bell in The book of Irish Surnames: The surname was introduced into Scotland by the Anglo Normans beginning in the 13th century,but surnames did not come into common use until the 14th and 15th centuries. Of the 54,325 individuals in the 1881 census, 16,536 are located  in Scotland with the vast majority to be found in the central lowlands. As expected the urban centres of Glasgow and Edinburgh dominated the distribution, In Ulster the 1901 census total is 1786. Sorted by county,  Antrim  followed by Londonderry have the highest frequency.

Etymology

The Miller Surname Study

GeoGenealogy