One AHD online (if my copy/paste works):
brook1 (brʊk) pronunciation
n. Chiefly Northeastern U.S.
See creek (sense 1). See Regional Note at run.
[Middle English, from Old English brōc.]
brook2 (brʊk) pronunciation
tr.v., brooked, brook·ing, brooks.
To put up with; tolerate: We will brook no further argument.
[Middle English brouken, from Old English brūcan, to use, enjoy.]
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Apparently this indicates that “brook” and “brooked” have different etymologies. Is that correct?