1787, a dialect word in Hampshire, Cornwall, etc. for "a bumblebee." Compare bumble-bee, also dore. The first element likely is imitative (dumble-, bumble-, humble- drumble- all seem to have been used interchangeably).
dumb
dumb-ass
dumb-bell
dumbfound
dumbfounded
dumbledore
dumbness
dumbo
dumb-show
dumbstruck
dumb-waiter