A person who catches eels professionally or as a trade, similar to an eelcatcher.
From 'eel' with the agent suffix '-er' (Old English '-ere'). A common occupational surname still found in European records.
The word 'Eeler' became a hereditary surname in England and the Netherlands because sons literally inherited their fathers' eeling rights and techniques—your last name told people exactly what your family did for a living.
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