Not a standard dictionary word in most modern contexts; possibly a plural surname or a dialectal/archaic form of 'meek' (humble, gentle).
If relating to meek: from Old English mēoc, meaning mild or gentle; as a surname, likely derived from the adjective or from a place name.
Many surnames come from old adjectives—'Meeks' could be similar to how 'Armstrong' originally meant someone with strong arms, so 'Meeks' might have originally labeled someone characteristically mild-mannered.
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