errandyoudaoicibaDictYouDict[errand 词源字典]
errand: [OE] Despite the passing similarity, errand has no etymological connection with err and error. It comes from a prehistoric Germanic *ǣrundjam, which meant ‘message’ – a sense which in fact survived in English until as recently as the 18th century (Miles Coverdale, for example, in his 1535 translation of 1 Samuel 11:5 wrote ‘So they told him the errand of the men of Jabesh’ – where the Authorized Version has ‘tidings’).

The main modern meaning, ‘task one goes to perform’, developed in the 13th century (in American English it has latterly gained specific connotations of ‘shopping’). The source of the Germanic word is not known, but it is no doubt related to Swedish ärende and Danish ærinde ‘errand, message, business’.
[errand etymology, errand origin, 英语词源]
errand (n.)youdaoicibaDictYouDict
Old English ærende "message, mission; answer, news, tidings," a common Germanic word (cognates: Old Saxon arundi, Old Norse erendi, Danish ærende, Swedish ärende, Old Frisian erende, Old High German arunti "message"), which is of uncertain origin. Compare Old English ar "messenger, servant, herald." Originally of important missions; meaning "short, simple journey and task" is attested by 1640s. Related: Errands. In Old English, ærendgast was "angel," ærendraca was "ambassador."