From The Collaborative International Dictionary of English v.0.48:
Crave \Crave\ (kr[=a]v), v. t. [imp. & p. p. Craved (kr[=a]vd); p pr. & vb. n. Craving.] [AS. crafian; akin to Icel. krefja, Sw. kr[aum]fva, Dan. kr[ae]ve.] 1. To ask with earnestness or importunity; to ask with submission or humility; to beg; to entreat; to beseech; to implore. [1913 Webster]
I crave your honor's pardon. --Shak. [1913 Webster]
Joseph . . . went in boldly unto Pilate, and craved the body of Jesus. --Mark xv. 43. [1913 Webster]
2. To call for, as a gratification; to long for; hence, to require or demand; as, the stomach craves food. [1913 Webster]
His path is one that eminently craves weary walking. --Edmund Gurney.
Syn: To ask; seek; beg; beseech; implore; entreat; solicit; request; supplicate; adjure. [1913 Webster]
From The Collaborative International Dictionary of English v.0.48:
Crave \Crave\, v. i. To desire strongly; to feel an insatiable longing; as, a craving appetite. [1913 Webster]
Once one may crave for love. --Suckling. [1913 Webster]