from
The Collaborative International Dictionary of English v.0.48
Drowse \Drowse\ (drouz), v. i. [imp. & p. p. {Drowsed} (drouzd);
p. pr. & vb. n. {Drowsing}.] [AS. dr[=u]sian, dr[=u]san, to
sink, become slow or inactive; cf. OD. droosen to be sleepy,
fall asleep, LG. dr[=u]sen, druusken, to slumber, fall down
with a noise; prob, akin to AS. dre['o]san to fall. See
{Dreary}.]
To sleep imperfectly or unsoundly; to slumber; to be heavy
with sleepiness; to doze. "He drowsed upon his couch."
--South.
[1913 Webster]
In the pool drowsed the cattle up to their knees.
--Lowell.
[1913 Webster]