From Wikipedia: There are two homonymous forms of Miller, one that began as an occupational surname for a miller and another that began as a toponymic surname for people from a locale in Glasgow. Miller of the occupational origin may also be translated from many cognate surnames from other European languages, such as Mueller, Müller, Mühler, Moller, Möller, Møller, Myller, and others. There is also a form in the early English linguistics as Milleiir.
The standard modern word represents the northern Middle English term, an agent derivative of mille 'mill', reinforced by Old Norse mylnari (see Milner). In southern, western, and central England, Millward (literally, 'mill keeper') was the usual term.
In 1995, Miller was the 22nd most common surname on the birth, death and marriage registers in Scotland; Millar was 77th.
The name Miller also has a long history in Northern Ireland, notably County Antrim where many migrants from Northern England and Scotland settled in the 16th and 17th centuries. ...
Miller is also the third most common surname among Jews in the United States (after Cohen and Levy), from the Yiddish cognate of Müller, which would be Miller (מיללער) or Milner (×ž×™×œ× ×¢×¨). ...
According to the 1990 U.S. Census, Miller was the 7th most common surname in the United States by 1990, accounting for 0.424% of the population. ...