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English: habitational name for someone who lived at a place called Cowick (notably one in Devon), denoting an outlying dairy farm, from Old English cūwīc, from cū ‘cow’ + wīc ‘outlying settlement’.

Cornish: habitational name from Gweek in the parish of Constantine, named from Cornish gwyk, which may have meant either ‘village’ or ‘forest’, or a topographic name from the same word.

English: topographic name for someone who lived by a place overgrown with couch grass (Old English cwice).