Bolt is a related term of budge.
As nouns the difference between bolt and budge
is that bolt is (land covered by trees) while budge is a kind of fur prepared from lambskin dressed with the wool on, formerly used as an edging and ornament, especially on scholastic habits.
As a verb budge is
to move.
As an adjective budge is
(obsolete) brisk; stirring; jocund or budge can be (obsolete) austere or stiff, like scholastics.