Third-person singular present tense of drowse; he/she/it drowses; also the plural noun form meaning instances or states of drowsing.
From drowse plus -s (third-person singular present or plural noun marker).
The word 'drowses' can be either a verb (he drowses by the window) or a noun (the drowses of afternoon), showing how English allows the same word form to serve multiple grammatical purposes!
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