The Collaborative International Dictionary of English v.0.48:
Billet \Bil"let\, v. t. [imp. & p. p. Billeted; p. pr. & vb. n. Billeting.] [From Billet a ticket.] (Mil.) To direct, by a ticket or note, where to lodge. Hence: To quarter, or place in lodgings, as soldiers in private houses. [1913 Webster] Billeted in so antiquated a mansion. --W. Irving. [1913 Webster]