As described in historical dictionaries

An Etymological Dictionary of Family and Christian Names (1857)

From the Anglo-Saxon Bremman, Breme, or Brim, to extend, to amplify to the utmost limits; to be violent, furious, to rage; a violent, bold, furious man; "Foughten breme," that is, "He fought furiously." Bremmer, a native of Bremen, Germany.

Arthur, William (1857) An Etymological Dictionary of Family and Christian Names. New York: Sheldon, Blakeman. Public Domain.


BritishSurnames.uk is a Good Stuff website.