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Last name origins & meanings:

1. German: topographic name from Middle High German bach ‘stream’ + the suffix -er denoting an inhabitant, or a habitational name from any of various places named with this word, for example Bach or Bachern.
2. Jewish (Ashkenazic): variant of Bachar.
3. Danish: probably of German origin (see 1).
4. Respelling of Norwegian Bakker, a habitational name from any of the farmsteads so named (see Back).
5. English: variant of Baker.