The Collaborative International Dictionary of English v.0.48:

Begone \Be*gone"\, interj. [Be, v. i. + gone, p. p.]
   Go away; depart; get you gone.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Begone \Be*gone"\, p. p. [OE. begon, AS. big[=a]n; pref. be- +
   g[=a]n to go.]
   Surrounded; furnished; beset; environed (as in woe-begone).
   [Obs.] --Gower. Chaucer.
   [1913 Webster]