The Collaborative International Dictionary of English v.0.48:
Budge \Budge\, a.
1. Lined with budge; hence, scholastic. "Budge gowns."
2. Austere or stiff, like scholastics.
Those budge doctors of the stoic fur. --Milton.
Budge bachelor, one of a company of men clothed in long
gowns lined with budge, who formerly accompanied the lord
mayor of London in his inaugural procession.
Budge barrel (Mil.), a small copper-hooped barrel with only
one head, the other end being closed by a piece of
leather, which is drawn together with strings like a
purse. It is used for carrying powder from the magazine to
the battery, in siege or seacoast service.