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English: occupational name from Middle English red (Old English hrēod) ‘reed’ + -man presumably for a thatcher or reed-cutter. Compare Reeder . English: in southeastern England sometimes a topographic name perhaps for someone who lived by a clearing from Middle English rede (Old English rēod rȳd) ‘clearing’ + man. English: habitational name from Redmain (Cumberland) from Old English rēad ‘red’ + an uncertain second element perhaps a dialect form of man ‘cairn’. Americanized form (translation into English) of Jewish (Ashkenazic) and German Rothman Rothmann Rotman Rottmann Roitman or Reitman .
Source: Dictionary of American Family Names 2nd edition, 2022
Project Includes other variations such as Redmond, Reddman, Reddmon, Redman, Reddan, Redmon, Redmand, Readmond, Redmaynd, Redmayne, Reddmayne, Redmane, Reddmane, Reddane, Redmoyne, Redmoynd, Redmain, Redmaine, Redmoine, Reddmyne, Redmyn, Reddmin, Redmin, Redmind, Rettman, Rettmann, etc.