Dictionary of Family Names

ACRE, ACRES, ACKER, AKERS.  Bardsley has:  a local name, meaning "of the Acre," or Acres, from residence beside the field or fields called the Acre or Acres.   

Arthur has:  ACKERS.  (Saxon)  Camden derives this surname from the Latin ager, "a field."  The name, however, is Saxon, and signifies the place of oaks, or oak-man; ac and ake being old terms for oak. 
     The termination er, in many nouns has the same signification as the Latin vir, a man—as Plower, i.e., Plowman; Baker, Bakerman.
     Like oak, the first Acker might have been firm and unyielding in his disposition, or he might have used or sold acorns.

Dixon has:  ACRES de l'Aigle, des (Frisian), of the Acres of the Eagle.   There is a place called l'Aigle in Normandy.