I found one cartoon where the screwball woodpecker travels back in time: “Prehistoric Super Salesman” from 1969 where Professor Grossenfibber needs a subject for his time tunnel.
Now my time machine is all ready for the experiment. All I need is somebody. . . is somebody. . . ah, the woodpecker, ya!

Variants

(1)
  1. Woody Woodpecker by Bugs Hardaway et al. (1 September 1969).
  2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . written by Bugs Hardaway