'Middest' definitions:
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Middest \Mid"dest\, a.; superl. of Mid. [See Midst.]
Situated most nearly in the middle; middlemost; midmost.
[Obs.] " 'Mongst the middest crowd." --Spenser.
[1913 Webster]
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Middest \Mid"dest\, n.
Midst; middle. [Obs.] --Fuller.
[1913 Webster]