drudge: [15] No one is quite sure where drudge comes from. It is first recorded, as a noun, towards the end of the 15th century, and the verb followed about fifty years later. One possible source may be the Middle English verb drugge ‘pull laboriously’, a possible relative of English drag; another suggestion is the Old English verb drēogan ‘work’.
drudge (n.)
late 15c., "one employed in mean, servile, or distasteful work," missing in Old English and Middle English, unless it is represented by Middle English druggen "do menial or monotonous work; druggunge, mid-13c., which are perhaps from Old English dreogan "to work, suffer, endure" (see endure). The verb is from 1540s. Related: Drudged; drudging. The surname is from 13c., probably from Old French dragie "a mixture of grains sown together," thus, a grower of this crop.