Source : Webster's Revised Unabridged Dictionary (1913)

Straightway \Straight"way`\, adv.
   Immediately; without loss of time; without delay.

         He took the damsel by the hand, and said unto her,
         Talitha cumi. . . . And straightway the damsel arose.
                                                  --Mark v.
                                                  41,42.

Source : WordNet®

straightway
     adv 1: at once; "straightway the clouds began to scatter"
     2: in a direct course; "plunged straightway to the rocks below"