"household sprite," 1811, from playful use of the proper name represented in dobbin (q.v.). In Sussex, such apparitions were called Master Dobbs.
Online Etymology Dictionary, © 2010 Douglas Harper
Examples from the Web for dobbie
Dobbie, the engineer, succeeded well in backing into the clear.
On Thursdays he is my gardener, on Wednesdays Mrs. Dobbie's gardener, and so on.
I 138 hurriedly boarded the Arequipena and started, Dobbie backing up at fast as he could.
This version says nothing about the treasure; but his death was foretold, and when it happened the dobbie also departed.The Vale of Lyvennet
John Salkeld Bland
They often fancied the echo to be the voice of the dobbie answering them, and were rather shy of disturbing it after dark.Bracebridge Hall