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Use "drowsing" in a sentence
"After a disturbed night's rest Burr awoke early and called his drowsing companion."
"Something about the powdery pallor, the intelligent brow, the drowsing accent."
"No cuckoos in Oberlin -- at least none that I have heard - although I did encounter a skunk who was drowsing under my car in the old shed that doubles as a garage behind my house ... you should have seen me run the other way as he woke up!!!"