"deep vessel for carrying liquids, usually with a handle or ear," late 15c., jugge, variant of jubbe (late 14c.), a word of unknown origin. Perhaps it is from jug "a low woman, a maidservant" (mid-16c.), a familiar alteration of Jug, a common personal name such as Joan or Judith.
Use as a musical instrument is attested from 1886 in jug-band (American English) "musical ensemble in which the bass line is carried or augmented by a player blowing on the open lip of a jug. "As a quantity of ale or beer, a jug is usually a pint" [Century Dictionary, 1902].
Old English handle "a handle" (plural handla), formed from hand (n.) with instrumental suffix -el (1) indicating a tool in the way thimble was formed from thumb, spindle from spin, spindle from spin, ladle from lade, etc. The slang sense of "nickname" is first recorded 1870, originally U.S., from earlier expressions about adding a handle to (one's) name (1833), that is, a title such as Mister or Sir. To fly off the handle (1833) is a figurative reference to an ax head (to be off the handle "be excited" is recorded from 1825, American English). To get a handle on "get control of" is recorded by 1919.
<a href="https://www.etymonline.com/word/jughandle">Etymology of jughandle by etymonline</a>
Harper, D. (n.d.). Etymology of jughandle. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/jughandle